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Finding the Fourth Proportional to 135,422.83, 203,134 and 40,652.92

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Solution

The fourth proportional to 135,422.83, 203,134 and 40,652.92 is: 60,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,422.83 : 203,134 = 40,652.92 : x
  2. Step 2: Convert to fraction form
    135,422.83/203,134 = 40,652.92/x
  3. Step 3: Cross multiply
    135,422.83x = 203,134 × 40,652.92
  4. Step 4: Simplify right side
    135,422.83x = 8,257,990,251.28
  5. Step 5: Solve for x
    x = 8,257,990,251.28/135,422.83
  6. Step 6: Final answer
    x = 60,979.31

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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.