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Finding the Fourth Proportional to 206,630.64, 285,105.72 and 135,115.68

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Solution

The fourth proportional to 206,630.64, 285,105.72 and 135,115.68 is: 186,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,630.64 : 285,105.72 = 135,115.68 : x
  2. Step 2: Convert to fraction form
    206,630.64/285,105.72 = 135,115.68/x
  3. Step 3: Cross multiply
    206,630.64x = 285,105.72 × 135,115.68
  4. Step 4: Simplify right side
    206,630.64x = 38,522,253,229.69
  5. Step 5: Solve for x
    x = 38,522,253,229.69/206,630.64
  6. Step 6: Final answer
    x = 186,430.50

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1.5x scale

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.