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Finding the Fourth Proportional to 206,635.60, 309,695.10 and 88,168.60

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Solution

The fourth proportional to 206,635.60, 309,695.10 and 88,168.60 is: 132,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,635.60 : 309,695.10 = 88,168.60 : x
  2. Step 2: Convert to fraction form
    206,635.60/309,695.10 = 88,168.60/x
  3. Step 3: Cross multiply
    206,635.60x = 309,695.10 × 88,168.60
  4. Step 4: Simplify right side
    206,635.60x = 27,305,383,393.86
  5. Step 5: Solve for x
    x = 27,305,383,393.86/206,635.60
  6. Step 6: Final answer
    x = 132,142.69

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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.