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Finding the Fourth Proportional to 135,867.11, 203,693.47 and 85,841.78

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Solution

The fourth proportional to 135,867.11, 203,693.47 and 85,841.78 is: 128,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,867.11 : 203,693.47 = 85,841.78 : x
  2. Step 2: Convert to fraction form
    135,867.11/203,693.47 = 85,841.78/x
  3. Step 3: Cross multiply
    135,867.11x = 203,693.47 × 85,841.78
  4. Step 4: Simplify right side
    135,867.11x = 17,485,408,806.10
  5. Step 5: Solve for x
    x = 17,485,408,806.10/135,867.11
  6. Step 6: Final answer
    x = 128,694.94

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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.