Step 1: Concept Power Gain ($A_p$) in a transistor is the product of Current Gain and Voltage Gain ($A_v$).
Step 2: Meaning $A_p = \text{Current Gain} \times A_v \implies \frac{A_p}{A_v} = \text{Current Gain}$.
Step 3: Analysis In Common Emitter (CE) configuration, the current gain is defined as $\beta$ (the ratio of change in collector current to change in base current).
Step 4: Conclusion The ratio of power gain to voltage gain is $\beta$.
Final Answer: (D)