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Finding the Fourth Proportional to 218,097.80, 327,195.30 and 84,966.20

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Solution

The fourth proportional to 218,097.80, 327,195.30 and 84,966.20 is: 127,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,097.80 : 327,195.30 = 84,966.20 : x
  2. Step 2: Convert to fraction form
    218,097.80/327,195.30 = 84,966.20/x
  3. Step 3: Cross multiply
    218,097.80x = 327,195.30 × 84,966.20
  4. Step 4: Simplify right side
    218,097.80x = 27,800,541,298.86
  5. Step 5: Solve for x
    x = 27,800,541,298.86/218,097.80
  6. Step 6: Final answer
    x = 127,468.23

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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.