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Finding the Fourth Proportional to 82,469.90, 123,559.05 and 73,138.70

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Solution

The fourth proportional to 82,469.90, 123,559.05 and 73,138.70 is: 109,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,469.90 : 123,559.05 = 73,138.70 : x
  2. Step 2: Convert to fraction form
    82,469.90/123,559.05 = 73,138.70/x
  3. Step 3: Cross multiply
    82,469.90x = 123,559.05 × 73,138.70
  4. Step 4: Simplify right side
    82,469.90x = 9,036,948,290.24
  5. Step 5: Solve for x
    x = 9,036,948,290.24/82,469.90
  6. Step 6: Final answer
    x = 109,578.75

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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.