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Finding the Fourth Proportional to 68,092.26, 102,138.42 and 21,348.78

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Solution

The fourth proportional to 68,092.26, 102,138.42 and 21,348.78 is: 32,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,092.26 : 102,138.42 = 21,348.78 : x
  2. Step 2: Convert to fraction form
    68,092.26/102,138.42 = 21,348.78/x
  3. Step 3: Cross multiply
    68,092.26x = 102,138.42 × 21,348.78
  4. Step 4: Simplify right side
    68,092.26x = 2,180,530,658.13
  5. Step 5: Solve for x
    x = 2,180,530,658.13/68,092.26
  6. Step 6: Final answer
    x = 32,023.18

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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.