Finding the Fourth Proportional to 68,142.68, 102,179.46 and 31,175

Step by Step Solution

1. Step 1: Write the proportion equation
   68,142.68 : 102,179.46 = 31,175 : x
2. Step 2: Convert to fraction form
   68,142.68/102,179.46 = 31,175/x
3. Step 3: Cross multiply
   68,142.68x = 102,179.46 × 31,175
4. Step 4: Simplify right side
   68,142.68x = 3,185,444,665.50
5. Step 5: Solve for x
   x = 3,185,444,665.50/68,142.68
6. Step 6: Final answer
   x = 46,746.69