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Finding the Fourth Proportional to 132,294.70, 198,374.01 and 38,788.30

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Solution

The fourth proportional to 132,294.70, 198,374.01 and 38,788.30 is: 58,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,294.70 : 198,374.01 = 38,788.30 : x
  2. Step 2: Convert to fraction form
    132,294.70/198,374.01 = 38,788.30/x
  3. Step 3: Cross multiply
    132,294.70x = 198,374.01 × 38,788.30
  4. Step 4: Simplify right side
    132,294.70x = 7,694,590,612.08
  5. Step 5: Solve for x
    x = 7,694,590,612.08/132,294.70
  6. Step 6: Final answer
    x = 58,162.50

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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.