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Finding the Fourth Proportional to 87,130.20, 130,695.30 and 82,291.80

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Solution

The fourth proportional to 87,130.20, 130,695.30 and 82,291.80 is: 123,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,130.20 : 130,695.30 = 82,291.80 : x
  2. Step 2: Convert to fraction form
    87,130.20/130,695.30 = 82,291.80/x
  3. Step 3: Cross multiply
    87,130.20x = 130,695.30 × 82,291.80
  4. Step 4: Simplify right side
    87,130.20x = 10,755,151,488.54
  5. Step 5: Solve for x
    x = 10,755,151,488.54/87,130.20
  6. Step 6: Final answer
    x = 123,437.70

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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.