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Finding the Fourth Proportional to 218,806.40, 327,979.20 and 85,635.20

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Solution

The fourth proportional to 218,806.40, 327,979.20 and 85,635.20 is: 128,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,806.40 : 327,979.20 = 85,635.20 : x
  2. Step 2: Convert to fraction form
    218,806.40/327,979.20 = 85,635.20/x
  3. Step 3: Cross multiply
    218,806.40x = 327,979.20 × 85,635.20
  4. Step 4: Simplify right side
    218,806.40x = 28,086,564,387.84
  5. Step 5: Solve for x
    x = 28,086,564,387.84/218,806.40
  6. Step 6: Final answer
    x = 128,362.63

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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.