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Finding the Fourth Proportional to 221,843.29, 306,136.91 and 126,363.61

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Solution

The fourth proportional to 221,843.29, 306,136.91 and 126,363.61 is: 174,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,843.29 : 306,136.91 = 126,363.61 : x
  2. Step 2: Convert to fraction form
    221,843.29/306,136.91 = 126,363.61/x
  3. Step 3: Cross multiply
    221,843.29x = 306,136.91 × 126,363.61
  4. Step 4: Simplify right side
    221,843.29x = 38,684,564,470.03
  5. Step 5: Solve for x
    x = 38,684,564,470.03/221,843.29
  6. Step 6: Final answer
    x = 174,377.89

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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.