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Finding the Fourth Proportional to 135,718.40, 203,270.40 and 80,422.40

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Solution

The fourth proportional to 135,718.40, 203,270.40 and 80,422.40 is: 120,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,718.40 : 203,270.40 = 80,422.40 : x
  2. Step 2: Convert to fraction form
    135,718.40/203,270.40 = 80,422.40/x
  3. Step 3: Cross multiply
    135,718.40x = 203,270.40 × 80,422.40
  4. Step 4: Simplify right side
    135,718.40x = 16,347,493,416.96
  5. Step 5: Solve for x
    x = 16,347,493,416.96/135,718.40
  6. Step 6: Final answer
    x = 120,451.56

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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.