Finding the Fourth Proportional to 70,838.82, 106,185.33 and 31,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,838.82 : 106,185.33 = 31,414.50 : x
2. Step 2: Convert to fraction form
   70,838.82/106,185.33 = 31,414.50/x
3. Step 3: Cross multiply
   70,838.82x = 106,185.33 × 31,414.50
4. Step 4: Simplify right side
   70,838.82x = 3,335,759,049.29
5. Step 5: Solve for x
   x = 3,335,759,049.29/70,838.82
6. Step 6: Final answer
   x = 47,089.42