Is it possible to calculate the load resistance in a full bridge rectifier when given only power, inductance, and input voltage?
Assuming negligible losses in the inductor and rectifier and a low value for C, your calculation is good. 

As the source is 115V I'm assuming the frequency is 60Hz, so L has a reactance of 0.032&ohm; - insignificant compared to R. Assuming silicon diodes with suitable ratings the rectifier should be dropping about 1.4V - again an insignificant amount. 

The capacitor is a wild card - if large enough to hold the voltage up between peaks then DC output voltage could get close to 160V, and R might have to be much higher (67&ohm;?).