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Finding the Fourth Proportional to 135.43, 203.13 and 81.25

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Solution

The fourth proportional to 135.43, 203.13 and 81.25 is: 121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.43 : 203.13 = 81.25 : x
  2. Step 2: Convert to fraction form
    135.43/203.13 = 81.25/x
  3. Step 3: Cross multiply
    135.43x = 203.13 × 81.25
  4. Step 4: Simplify right side
    135.43x = 16,504.31
  5. Step 5: Solve for x
    x = 16,504.31/135.43
  6. Step 6: Final answer
    x = 121.87

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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.