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Finding the Fourth Proportional to 77,487.76, 116,129.52 and 30,715.12

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Solution

The fourth proportional to 77,487.76, 116,129.52 and 30,715.12 is: 46,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,487.76 : 116,129.52 = 30,715.12 : x
  2. Step 2: Convert to fraction form
    77,487.76/116,129.52 = 30,715.12/x
  3. Step 3: Cross multiply
    77,487.76x = 116,129.52 × 30,715.12
  4. Step 4: Simplify right side
    77,487.76x = 3,566,932,142.34
  5. Step 5: Solve for x
    x = 3,566,932,142.34/77,487.76
  6. Step 6: Final answer
    x = 46,032.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.