Finding the Fourth Proportional to 102,085.86, 153,128.76 and 31,970.64

Step by Step Solution

1. Step 1: Write the proportion equation
   102,085.86 : 153,128.76 = 31,970.64 : x
2. Step 2: Convert to fraction form
   102,085.86/153,128.76 = 31,970.64/x
3. Step 3: Cross multiply
   102,085.86x = 153,128.76 × 31,970.64
4. Step 4: Simplify right side
   102,085.86x = 4,895,624,459.61
5. Step 5: Solve for x
   x = 4,895,624,459.61/102,085.86
6. Step 6: Final answer
   x = 47,955.95