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Finding the Fourth Proportional to 71,764.97, 107,658.39 and 36,692.78

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Solution

The fourth proportional to 71,764.97, 107,658.39 and 36,692.78 is: 55,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,764.97 : 107,658.39 = 36,692.78 : x
  2. Step 2: Convert to fraction form
    71,764.97/107,658.39 = 36,692.78/x
  3. Step 3: Cross multiply
    71,764.97x = 107,658.39 × 36,692.78
  4. Step 4: Simplify right side
    71,764.97x = 3,950,285,619.42
  5. Step 5: Solve for x
    x = 3,950,285,619.42/71,764.97
  6. Step 6: Final answer
    x = 55,044.76

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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.