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Finding the Fourth Proportional to 198,654.98, 297,975.88 and 86,335.32

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Solution

The fourth proportional to 198,654.98, 297,975.88 and 86,335.32 is: 129,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,654.98 : 297,975.88 = 86,335.32 : x
  2. Step 2: Convert to fraction form
    198,654.98/297,975.88 = 86,335.32/x
  3. Step 3: Cross multiply
    198,654.98x = 297,975.88 × 86,335.32
  4. Step 4: Simplify right side
    198,654.98x = 25,725,842,952.08
  5. Step 5: Solve for x
    x = 25,725,842,952.08/198,654.98
  6. Step 6: Final answer
    x = 129,500.12

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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.