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Finding the Fourth Proportional to 221,384.89, 305,456.80 and 129,489.88

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Solution

The fourth proportional to 221,384.89, 305,456.80 and 129,489.88 is: 178,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,384.89 : 305,456.80 = 129,489.88 : x
  2. Step 2: Convert to fraction form
    221,384.89/305,456.80 = 129,489.88/x
  3. Step 3: Cross multiply
    221,384.89x = 305,456.80 × 129,489.88
  4. Step 4: Simplify right side
    221,384.89x = 39,553,564,377.18
  5. Step 5: Solve for x
    x = 39,553,564,377.18/221,384.89
  6. Step 6: Final answer
    x = 178,664.25

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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.