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Finding the Fourth Proportional to 82,499.82, 123,729.88 and 38,083.90

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Solution

The fourth proportional to 82,499.82, 123,729.88 and 38,083.90 is: 57,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,499.82 : 123,729.88 = 38,083.90 : x
  2. Step 2: Convert to fraction form
    82,499.82/123,729.88 = 38,083.90/x
  3. Step 3: Cross multiply
    82,499.82x = 123,729.88 × 38,083.90
  4. Step 4: Simplify right side
    82,499.82x = 4,712,116,376.93
  5. Step 5: Solve for x
    x = 4,712,116,376.93/82,499.82
  6. Step 6: Final answer
    x = 57,116.69

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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.