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Finding the Fourth Proportional to 76,669.92, 115,018.56 and 31,691.40

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Solution

The fourth proportional to 76,669.92, 115,018.56 and 31,691.40 is: 47,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,669.92 : 115,018.56 = 31,691.40 : x
  2. Step 2: Convert to fraction form
    76,669.92/115,018.56 = 31,691.40/x
  3. Step 3: Cross multiply
    76,669.92x = 115,018.56 × 31,691.40
  4. Step 4: Simplify right side
    76,669.92x = 3,645,099,192.38
  5. Step 5: Solve for x
    x = 3,645,099,192.38/76,669.92
  6. Step 6: Final answer
    x = 47,542.75

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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.