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Finding the Fourth Proportional to 82,503.82, 123,735.88 and 38,087.90

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Solution

The fourth proportional to 82,503.82, 123,735.88 and 38,087.90 is: 57,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,503.82 : 123,735.88 = 38,087.90 : x
  2. Step 2: Convert to fraction form
    82,503.82/123,735.88 = 38,087.90/x
  3. Step 3: Cross multiply
    82,503.82x = 123,735.88 × 38,087.90
  4. Step 4: Simplify right side
    82,503.82x = 4,712,839,823.85
  5. Step 5: Solve for x
    x = 4,712,839,823.85/82,503.82
  6. Step 6: Final answer
    x = 57,122.69

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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.