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Finding the Fourth Proportional to 85,761.44, 128,839.92 and 82,218.56

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Solution

The fourth proportional to 85,761.44, 128,839.92 and 82,218.56 is: 123,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,761.44 : 128,839.92 = 82,218.56 : x
  2. Step 2: Convert to fraction form
    85,761.44/128,839.92 = 82,218.56/x
  3. Step 3: Cross multiply
    85,761.44x = 128,839.92 × 82,218.56
  4. Step 4: Simplify right side
    85,761.44x = 10,593,032,692.92
  5. Step 5: Solve for x
    x = 10,593,032,692.92/85,761.44
  6. Step 6: Final answer
    x = 123,517.43

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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.