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Finding the Fourth Proportional to 87,359, 131,066.22 and 31,197.92

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Solution

The fourth proportional to 87,359, 131,066.22 and 31,197.92 is: 46,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,359 : 131,066.22 = 31,197.92 : x
  2. Step 2: Convert to fraction form
    87,359/131,066.22 = 31,197.92/x
  3. Step 3: Cross multiply
    87,359x = 131,066.22 × 31,197.92
  4. Step 4: Simplify right side
    87,359x = 4,088,993,446.26
  5. Step 5: Solve for x
    x = 4,088,993,446.26/87,359
  6. Step 6: Final answer
    x = 46,806.78

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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.