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Finding the Fourth Proportional to 203,162.65, 280,502.99 and 126,711.61

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Solution

The fourth proportional to 203,162.65, 280,502.99 and 126,711.61 is: 174,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,162.65 : 280,502.99 = 126,711.61 : x
  2. Step 2: Convert to fraction form
    203,162.65/280,502.99 = 126,711.61/x
  3. Step 3: Cross multiply
    203,162.65x = 280,502.99 × 126,711.61
  4. Step 4: Simplify right side
    203,162.65x = 35,542,985,472.71
  5. Step 5: Solve for x
    x = 35,542,985,472.71/203,162.65
  6. Step 6: Final answer
    x = 174,948.42

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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.