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Finding the Fourth Proportional to 198,604.31, 297,738.52 and 86,200.03

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Solution

The fourth proportional to 198,604.31, 297,738.52 and 86,200.03 is: 129,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,604.31 : 297,738.52 = 86,200.03 : x
  2. Step 2: Convert to fraction form
    198,604.31/297,738.52 = 86,200.03/x
  3. Step 3: Cross multiply
    198,604.31x = 297,738.52 × 86,200.03
  4. Step 4: Simplify right side
    198,604.31x = 25,665,069,512.83
  5. Step 5: Solve for x
    x = 25,665,069,512.83/198,604.31
  6. Step 6: Final answer
    x = 129,227.16

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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.