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Finding the Fourth Proportional to 198,573.24, 297,942.90 and 86,347.85

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Solution

The fourth proportional to 198,573.24, 297,942.90 and 86,347.85 is: 129,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,573.24 : 297,942.90 = 86,347.85 : x
  2. Step 2: Convert to fraction form
    198,573.24/297,942.90 = 86,347.85/x
  3. Step 3: Cross multiply
    198,573.24x = 297,942.90 × 86,347.85
  4. Step 4: Simplify right side
    198,573.24x = 25,726,727,348.05
  5. Step 5: Solve for x
    x = 25,726,727,348.05/198,573.24
  6. Step 6: Final answer
    x = 129,557.88

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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.