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Finding the Fourth Proportional to 218,209.92, 327,659.14 and 129,857.76

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Solution

The fourth proportional to 218,209.92, 327,659.14 and 129,857.76 is: 194,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,209.92 : 327,659.14 = 129,857.76 : x
  2. Step 2: Convert to fraction form
    218,209.92/327,659.14 = 129,857.76/x
  3. Step 3: Cross multiply
    218,209.92x = 327,659.14 × 129,857.76
  4. Step 4: Simplify right side
    218,209.92x = 42,549,081,963.93
  5. Step 5: Solve for x
    x = 42,549,081,963.93/218,209.92
  6. Step 6: Final answer
    x = 194,991.51

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1.5x scale

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.