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Finding the Fourth Proportional to 149,753.62, 224,272.13 and 86,442.02

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Solution

The fourth proportional to 149,753.62, 224,272.13 and 86,442.02 is: 129,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,753.62 : 224,272.13 = 86,442.02 : x
  2. Step 2: Convert to fraction form
    149,753.62/224,272.13 = 86,442.02/x
  3. Step 3: Cross multiply
    149,753.62x = 224,272.13 × 86,442.02
  4. Step 4: Simplify right side
    149,753.62x = 19,386,534,825.54
  5. Step 5: Solve for x
    x = 19,386,534,825.54/149,753.62
  6. Step 6: Final answer
    x = 129,456.21

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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.