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Finding the Fourth Proportional to 221,454, 332,181 and 71,819.46

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Solution

The fourth proportional to 221,454, 332,181 and 71,819.46 is: 107,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,454 : 332,181 = 71,819.46 : x
  2. Step 2: Convert to fraction form
    221,454/332,181 = 71,819.46/x
  3. Step 3: Cross multiply
    221,454x = 332,181 × 71,819.46
  4. Step 4: Simplify right side
    221,454x = 23,857,060,042.26
  5. Step 5: Solve for x
    x = 23,857,060,042.26/221,454
  6. Step 6: Final answer
    x = 107,729.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.