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Finding the Fourth Proportional to 162,659.92, 243,997.16 and 71,469.30

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Solution

The fourth proportional to 162,659.92, 243,997.16 and 71,469.30 is: 107,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,659.92 : 243,997.16 = 71,469.30 : x
  2. Step 2: Convert to fraction form
    162,659.92/243,997.16 = 71,469.30/x
  3. Step 3: Cross multiply
    162,659.92x = 243,997.16 × 71,469.30
  4. Step 4: Simplify right side
    162,659.92x = 17,438,306,227.19
  5. Step 5: Solve for x
    x = 17,438,306,227.19/162,659.92
  6. Step 6: Final answer
    x = 107,207.15

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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.