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Finding the Fourth Proportional to 85,399.92, 127,902.84 and 82,447.44

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Solution

The fourth proportional to 85,399.92, 127,902.84 and 82,447.44 is: 123,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,399.92 : 127,902.84 = 82,447.44 : x
  2. Step 2: Convert to fraction form
    85,399.92/127,902.84 = 82,447.44/x
  3. Step 3: Cross multiply
    85,399.92x = 127,902.84 × 82,447.44
  4. Step 4: Simplify right side
    85,399.92x = 10,545,261,726.73
  5. Step 5: Solve for x
    x = 10,545,261,726.73/85,399.92
  6. Step 6: Final answer
    x = 123,480.93

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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.