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Finding the Fourth Proportional to 145,456.78, 200,729.10 and 81,793.22

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Solution

The fourth proportional to 145,456.78, 200,729.10 and 81,793.22 is: 112,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456.78 : 200,729.10 = 81,793.22 : x
  2. Step 2: Convert to fraction form
    145,456.78/200,729.10 = 81,793.22/x
  3. Step 3: Cross multiply
    145,456.78x = 200,729.10 × 81,793.22
  4. Step 4: Simplify right side
    145,456.78x = 16,418,279,436.70
  5. Step 5: Solve for x
    x = 16,418,279,436.70/145,456.78
  6. Step 6: Final answer
    x = 112,873.94

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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.