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Finding the Fourth Proportional to 132,392.96, 198,604.04 and 38,906

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Solution

The fourth proportional to 132,392.96, 198,604.04 and 38,906 is: 58,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,392.96 : 198,604.04 = 38,906 : x
  2. Step 2: Convert to fraction form
    132,392.96/198,604.04 = 38,906/x
  3. Step 3: Cross multiply
    132,392.96x = 198,604.04 × 38,906
  4. Step 4: Simplify right side
    132,392.96x = 7,726,888,780.24
  5. Step 5: Solve for x
    x = 7,726,888,780.24/132,392.96
  6. Step 6: Final answer
    x = 58,363.29

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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.