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Finding the Fourth Proportional to 54,780.75, 82,115.77 and 21,487.78

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Solution

The fourth proportional to 54,780.75, 82,115.77 and 21,487.78 is: 32,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,780.75 : 82,115.77 = 21,487.78 : x
  2. Step 2: Convert to fraction form
    54,780.75/82,115.77 = 21,487.78/x
  3. Step 3: Cross multiply
    54,780.75x = 82,115.77 × 21,487.78
  4. Step 4: Simplify right side
    54,780.75x = 1,764,485,082.27
  5. Step 5: Solve for x
    x = 1,764,485,082.27/54,780.75
  6. Step 6: Final answer
    x = 32,209.95

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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.