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Finding the Fourth Proportional to 221,909.18, 332,830.97 and 81,635

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Solution

The fourth proportional to 221,909.18, 332,830.97 and 81,635 is: 122,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,909.18 : 332,830.97 = 81,635 : x
  2. Step 2: Convert to fraction form
    221,909.18/332,830.97 = 81,635/x
  3. Step 3: Cross multiply
    221,909.18x = 332,830.97 × 81,635
  4. Step 4: Simplify right side
    221,909.18x = 27,170,655,827.78
  5. Step 5: Solve for x
    x = 27,170,655,827.78/221,909.18
  6. Step 6: Final answer
    x = 122,440.43

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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.