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Finding the Fourth Proportional to 87,400, 131,088.84 and 28,229.52

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Solution

The fourth proportional to 87,400, 131,088.84 and 28,229.52 is: 42,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,400 : 131,088.84 = 28,229.52 : x
  2. Step 2: Convert to fraction form
    87,400/131,088.84 = 28,229.52/x
  3. Step 3: Cross multiply
    87,400x = 131,088.84 × 28,229.52
  4. Step 4: Simplify right side
    87,400x = 3,700,575,030.56
  5. Step 5: Solve for x
    x = 3,700,575,030.56/87,400
  6. Step 6: Final answer
    x = 42,340.68

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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.