  We consider an SO(10) grand unified theory in which the ratio of the SU(2)_W
and SU(3)_c gaugino masses satisfy M_2/M_3 \approx 3, which results in the
realization of natural supersymmetry. In the MSSM parameter space this relation
looks artificial, but in the SO(10) case it results from a field with a
designated vacuum expectation value. We consider two models, namely
M_1:M_2:M_3=-1/5:3:1 (Case I), and M_1:M_2:M_3=-5:3:1 (Case II). Focusing on
ameliorating the little hierarchy problem, we explore the parameter space of
these models which yield small fine-tuning measuring parameters (natural
supersymmetry) at the electroweak scale (\Delta_{EW}) as well as at the high
scale (\Delta_{HS}). Although both models allow for the solution of the little
hierarchy problem, the predicted sparticle spectra can differ markedly in the
two cases. Depending on the ratio of the bino mass to the other gaugino masses,
Case I leads to stau lepton masses of around a 100 GeV, while in Case II, the
stau slepton masses are in the several TeV range. In Case I, the bino-like
neutralino can be as light as 90 GeV, while the gluino is heavier than 2 TeV or
so. In Case II, due to gluino-bino near degeneracy, the bino cannot be lighter
than a TeV or so. Having a light neutralino with sizable bino-higgsino mixture
in Case I allows the direct dark matter search experiments to test this class
of models.
