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Finding the Fourth Proportional to 198,504.90, 297,589.96 and 86,100.49

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Solution

The fourth proportional to 198,504.90, 297,589.96 and 86,100.49 is: 129,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,504.90 : 297,589.96 = 86,100.49 : x
  2. Step 2: Convert to fraction form
    198,504.90/297,589.96 = 86,100.49/x
  3. Step 3: Cross multiply
    198,504.90x = 297,589.96 × 86,100.49
  4. Step 4: Simplify right side
    198,504.90x = 25,622,641,375.08
  5. Step 5: Solve for x
    x = 25,622,641,375.08/198,504.90
  6. Step 6: Final answer
    x = 129,078.13

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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.