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Finding the Fourth Proportional to 204,456.40, 306,799.80 and 79,781.20

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Solution

The fourth proportional to 204,456.40, 306,799.80 and 79,781.20 is: 119,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,456.40 : 306,799.80 = 79,781.20 : x
  2. Step 2: Convert to fraction form
    204,456.40/306,799.80 = 79,781.20/x
  3. Step 3: Cross multiply
    204,456.40x = 306,799.80 × 79,781.20
  4. Step 4: Simplify right side
    204,456.40x = 24,476,856,203.76
  5. Step 5: Solve for x
    x = 24,476,856,203.76/204,456.40
  6. Step 6: Final answer
    x = 119,716.75

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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.