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Finding the Fourth Proportional to 135,236.80, 202,912.80 and 85,355.20

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Solution

The fourth proportional to 135,236.80, 202,912.80 and 85,355.20 is: 128,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,236.80 : 202,912.80 = 85,355.20 : x
  2. Step 2: Convert to fraction form
    135,236.80/202,912.80 = 85,355.20/x
  3. Step 3: Cross multiply
    135,236.80x = 202,912.80 × 85,355.20
  4. Step 4: Simplify right side
    135,236.80x = 17,319,662,626.56
  5. Step 5: Solve for x
    x = 17,319,662,626.56/135,236.80
  6. Step 6: Final answer
    x = 128,069.15

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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.