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Finding the Fourth Proportional to 38,166, 57,251.88 and 13,542

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Solution

The fourth proportional to 38,166, 57,251.88 and 13,542 is: 20,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166 : 57,251.88 = 13,542 : x
  2. Step 2: Convert to fraction form
    38,166/57,251.88 = 13,542/x
  3. Step 3: Cross multiply
    38,166x = 57,251.88 × 13,542
  4. Step 4: Simplify right side
    38,166x = 775,304,958.96
  5. Step 5: Solve for x
    x = 775,304,958.96/38,166
  6. Step 6: Final answer
    x = 20,314.02

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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.