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Finding the Fourth Proportional to 198,351.38, 297,526.45 and 71,991.46

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Solution

The fourth proportional to 198,351.38, 297,526.45 and 71,991.46 is: 107,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,351.38 : 297,526.45 = 71,991.46 : x
  2. Step 2: Convert to fraction form
    198,351.38/297,526.45 = 71,991.46/x
  3. Step 3: Cross multiply
    198,351.38x = 297,526.45 × 71,991.46
  4. Step 4: Simplify right side
    198,351.38x = 21,419,363,524.12
  5. Step 5: Solve for x
    x = 21,419,363,524.12/198,351.38
  6. Step 6: Final answer
    x = 107,986.96

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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.