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Finding the Fourth Proportional to 132,398.20, 198,524.40 and 53,423.20

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Solution

The fourth proportional to 132,398.20, 198,524.40 and 53,423.20 is: 80,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,398.20 : 198,524.40 = 53,423.20 : x
  2. Step 2: Convert to fraction form
    132,398.20/198,524.40 = 53,423.20/x
  3. Step 3: Cross multiply
    132,398.20x = 198,524.40 × 53,423.20
  4. Step 4: Simplify right side
    132,398.20x = 10,605,808,726.08
  5. Step 5: Solve for x
    x = 10,605,808,726.08/132,398.20
  6. Step 6: Final answer
    x = 80,105.38

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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.