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Finding the Fourth Proportional to 198,660.12, 297,983.48 and 86,340.32

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Solution

The fourth proportional to 198,660.12, 297,983.48 and 86,340.32 is: 129,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,660.12 : 297,983.48 = 86,340.32 : x
  2. Step 2: Convert to fraction form
    198,660.12/297,983.48 = 86,340.32/x
  3. Step 3: Cross multiply
    198,660.12x = 297,983.48 × 86,340.32
  4. Step 4: Simplify right side
    198,660.12x = 25,727,989,017.91
  5. Step 5: Solve for x
    x = 25,727,989,017.91/198,660.12
  6. Step 6: Final answer
    x = 129,507.57

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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.