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Finding the Fourth Proportional to 57,332, 86,001.24 and 20,396

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Solution

The fourth proportional to 57,332, 86,001.24 and 20,396 is: 30,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,332 : 86,001.24 = 20,396 : x
  2. Step 2: Convert to fraction form
    57,332/86,001.24 = 20,396/x
  3. Step 3: Cross multiply
    57,332x = 86,001.24 × 20,396
  4. Step 4: Simplify right side
    57,332x = 1,754,081,291.04
  5. Step 5: Solve for x
    x = 1,754,081,291.04/57,332
  6. Step 6: Final answer
    x = 30,595.15

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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.