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Finding the Fourth Proportional to 221,781.60, 332,672.40 and 81,511.20

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Solution

The fourth proportional to 221,781.60, 332,672.40 and 81,511.20 is: 122,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,781.60 : 332,672.40 = 81,511.20 : x
  2. Step 2: Convert to fraction form
    221,781.60/332,672.40 = 81,511.20/x
  3. Step 3: Cross multiply
    221,781.60x = 332,672.40 × 81,511.20
  4. Step 4: Simplify right side
    221,781.60x = 27,116,526,530.88
  5. Step 5: Solve for x
    x = 27,116,526,530.88/221,781.60
  6. Step 6: Final answer
    x = 122,266.80

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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.