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Finding the Fourth Proportional to 198,654.98, 297,975.87 and 86,335.31

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Solution

The fourth proportional to 198,654.98, 297,975.87 and 86,335.31 is: 129,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,654.98 : 297,975.87 = 86,335.31 : x
  2. Step 2: Convert to fraction form
    198,654.98/297,975.87 = 86,335.31/x
  3. Step 3: Cross multiply
    198,654.98x = 297,975.87 × 86,335.31
  4. Step 4: Simplify right side
    198,654.98x = 25,725,839,108.97
  5. Step 5: Solve for x
    x = 25,725,839,108.97/198,654.98
  6. Step 6: Final answer
    x = 129,500.10

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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.