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Finding the Fourth Proportional to 165,142.98, 227,898.48 and 89,691.48

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Solution

The fourth proportional to 165,142.98, 227,898.48 and 89,691.48 is: 123,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,142.98 : 227,898.48 = 89,691.48 : x
  2. Step 2: Convert to fraction form
    165,142.98/227,898.48 = 89,691.48/x
  3. Step 3: Cross multiply
    165,142.98x = 227,898.48 × 89,691.48
  4. Step 4: Simplify right side
    165,142.98x = 20,440,551,960.95
  5. Step 5: Solve for x
    x = 20,440,551,960.95/165,142.98
  6. Step 6: Final answer
    x = 123,774.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.