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Finding the Fourth Proportional to 136.56, 203.82 and 114.48

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Solution

The fourth proportional to 136.56, 203.82 and 114.48 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.56 : 203.82 = 114.48 : x
  2. Step 2: Convert to fraction form
    136.56/203.82 = 114.48/x
  3. Step 3: Cross multiply
    136.56x = 203.82 × 114.48
  4. Step 4: Simplify right side
    136.56x = 23,333.31
  5. Step 5: Solve for x
    x = 23,333.31/136.56
  6. Step 6: Final answer
    x = 170.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.