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Finding the Fourth Proportional to 87,332.76, 120,513.96 and 51,534

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Solution

The fourth proportional to 87,332.76, 120,513.96 and 51,534 is: 71,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,332.76 : 120,513.96 = 51,534 : x
  2. Step 2: Convert to fraction form
    87,332.76/120,513.96 = 51,534/x
  3. Step 3: Cross multiply
    87,332.76x = 120,513.96 × 51,534
  4. Step 4: Simplify right side
    87,332.76x = 6,210,566,414.64
  5. Step 5: Solve for x
    x = 6,210,566,414.64/87,332.76
  6. Step 6: Final answer
    x = 71,113.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.