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Finding the Fourth Proportional to 68,081.26, 102,121.92 and 21,337.78

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Solution

The fourth proportional to 68,081.26, 102,121.92 and 21,337.78 is: 32,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,081.26 : 102,121.92 = 21,337.78 : x
  2. Step 2: Convert to fraction form
    68,081.26/102,121.92 = 21,337.78/x
  3. Step 3: Cross multiply
    68,081.26x = 102,121.92 × 21,337.78
  4. Step 4: Simplify right side
    68,081.26x = 2,179,055,062.14
  5. Step 5: Solve for x
    x = 2,179,055,062.14/68,081.26
  6. Step 6: Final answer
    x = 32,006.68

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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.