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Finding the Fourth Proportional to 206,812.29, 285,421.86 and 126,286.95

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Solution

The fourth proportional to 206,812.29, 285,421.86 and 126,286.95 is: 174,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.29 : 285,421.86 = 126,286.95 : x
  2. Step 2: Convert to fraction form
    206,812.29/285,421.86 = 126,286.95/x
  3. Step 3: Cross multiply
    206,812.29x = 285,421.86 × 126,286.95
  4. Step 4: Simplify right side
    206,812.29x = 36,045,056,162.73
  5. Step 5: Solve for x
    x = 36,045,056,162.73/206,812.29
  6. Step 6: Final answer
    x = 174,288.75

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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.