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Finding the Fourth Proportional to 135,844.80, 203,767.20 and 85,325.10

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Solution

The fourth proportional to 135,844.80, 203,767.20 and 85,325.10 is: 127,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,844.80 : 203,767.20 = 85,325.10 : x
  2. Step 2: Convert to fraction form
    135,844.80/203,767.20 = 85,325.10/x
  3. Step 3: Cross multiply
    135,844.80x = 203,767.20 × 85,325.10
  4. Step 4: Simplify right side
    135,844.80x = 17,386,456,716.72
  5. Step 5: Solve for x
    x = 17,386,456,716.72/135,844.80
  6. Step 6: Final answer
    x = 127,987.65

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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.