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Finding the Fourth Proportional to 206,747.76, 285,342.78 and 126,221.98

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Solution

The fourth proportional to 206,747.76, 285,342.78 and 126,221.98 is: 174,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,747.76 : 285,342.78 = 126,221.98 : x
  2. Step 2: Convert to fraction form
    206,747.76/285,342.78 = 126,221.98/x
  3. Step 3: Cross multiply
    206,747.76x = 285,342.78 × 126,221.98
  4. Step 4: Simplify right side
    206,747.76x = 36,016,530,670.30
  5. Step 5: Solve for x
    x = 36,016,530,670.30/206,747.76
  6. Step 6: Final answer
    x = 174,205.18

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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.