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Finding the Fourth Proportional to 76,387.38, 114,584.17 and 36,385.80

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Solution

The fourth proportional to 76,387.38, 114,584.17 and 36,385.80 is: 54,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,387.38 : 114,584.17 = 36,385.80 : x
  2. Step 2: Convert to fraction form
    76,387.38/114,584.17 = 36,385.80/x
  3. Step 3: Cross multiply
    76,387.38x = 114,584.17 × 36,385.80
  4. Step 4: Simplify right side
    76,387.38x = 4,169,236,692.79
  5. Step 5: Solve for x
    x = 4,169,236,692.79/76,387.38
  6. Step 6: Final answer
    x = 54,580.18

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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.