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Finding the Fourth Proportional to 198,655.43, 297,976.46 and 86,335.66

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Solution

The fourth proportional to 198,655.43, 297,976.46 and 86,335.66 is: 129,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,655.43 : 297,976.46 = 86,335.66 : x
  2. Step 2: Convert to fraction form
    198,655.43/297,976.46 = 86,335.66/x
  3. Step 3: Cross multiply
    198,655.43x = 297,976.46 × 86,335.66
  4. Step 4: Simplify right side
    198,655.43x = 25,725,994,338.56
  5. Step 5: Solve for x
    x = 25,725,994,338.56/198,655.43
  6. Step 6: Final answer
    x = 129,500.58

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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.