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Finding the Fourth Proportional to 198,652.97, 297,972.88 and 86,333.31

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Solution

The fourth proportional to 198,652.97, 297,972.88 and 86,333.31 is: 129,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,652.97 : 297,972.88 = 86,333.31 : x
  2. Step 2: Convert to fraction form
    198,652.97/297,972.88 = 86,333.31/x
  3. Step 3: Cross multiply
    198,652.97x = 297,972.88 × 86,333.31
  4. Step 4: Simplify right side
    198,652.97x = 25,724,984,804.80
  5. Step 5: Solve for x
    x = 25,724,984,804.80/198,652.97
  6. Step 6: Final answer
    x = 129,497.10

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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.