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Finding the Fourth Proportional to 82,396, 123,550.26 and 37,999.90

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Solution

The fourth proportional to 82,396, 123,550.26 and 37,999.90 is: 56,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396 : 123,550.26 = 37,999.90 : x
  2. Step 2: Convert to fraction form
    82,396/123,550.26 = 37,999.90/x
  3. Step 3: Cross multiply
    82,396x = 123,550.26 × 37,999.90
  4. Step 4: Simplify right side
    82,396x = 4,694,897,524.97
  5. Step 5: Solve for x
    x = 4,694,897,524.97/82,396
  6. Step 6: Final answer
    x = 56,979.68

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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.