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Finding the Fourth Proportional to 87,310.80, 130,966.20 and 21,646.80

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Solution

The fourth proportional to 87,310.80, 130,966.20 and 21,646.80 is: 32,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,310.80 : 130,966.20 = 21,646.80 : x
  2. Step 2: Convert to fraction form
    87,310.80/130,966.20 = 21,646.80/x
  3. Step 3: Cross multiply
    87,310.80x = 130,966.20 × 21,646.80
  4. Step 4: Simplify right side
    87,310.80x = 2,834,999,138.16
  5. Step 5: Solve for x
    x = 2,834,999,138.16/87,310.80
  6. Step 6: Final answer
    x = 32,470.20

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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.