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Finding the Fourth Proportional to 145,456.50, 200,731.20 and 81,793.74

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Solution

The fourth proportional to 145,456.50, 200,731.20 and 81,793.74 is: 112,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456.50 : 200,731.20 = 81,793.74 : x
  2. Step 2: Convert to fraction form
    145,456.50/200,731.20 = 81,793.74/x
  3. Step 3: Cross multiply
    145,456.50x = 200,731.20 × 81,793.74
  4. Step 4: Simplify right side
    145,456.50x = 16,418,555,582.69
  5. Step 5: Solve for x
    x = 16,418,555,582.69/145,456.50
  6. Step 6: Final answer
    x = 112,876.05

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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.