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Finding the Fourth Proportional to 198,074, 297,123.96 and 87,266

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Solution

The fourth proportional to 198,074, 297,123.96 and 87,266 is: 130,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,074 : 297,123.96 = 87,266 : x
  2. Step 2: Convert to fraction form
    198,074/297,123.96 = 87,266/x
  3. Step 3: Cross multiply
    198,074x = 297,123.96 × 87,266
  4. Step 4: Simplify right side
    198,074x = 25,928,819,493.36
  5. Step 5: Solve for x
    x = 25,928,819,493.36/198,074
  6. Step 6: Final answer
    x = 130,904.71

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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.