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Finding the Fourth Proportional to 78,565.61, 117,754.66 and 54,744.12

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Solution

The fourth proportional to 78,565.61, 117,754.66 and 54,744.12 is: 82,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,565.61 : 117,754.66 = 54,744.12 : x
  2. Step 2: Convert to fraction form
    78,565.61/117,754.66 = 54,744.12/x
  3. Step 3: Cross multiply
    78,565.61x = 117,754.66 × 54,744.12
  4. Step 4: Simplify right side
    78,565.61x = 6,446,375,306.03
  5. Step 5: Solve for x
    x = 6,446,375,306.03/78,565.61
  6. Step 6: Final answer
    x = 82,050.85

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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.