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Finding the Fourth Proportional to 136.44, 205.06 and 82.44

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Solution

The fourth proportional to 136.44, 205.06 and 82.44 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.44 : 205.06 = 82.44 : x
  2. Step 2: Convert to fraction form
    136.44/205.06 = 82.44/x
  3. Step 3: Cross multiply
    136.44x = 205.06 × 82.44
  4. Step 4: Simplify right side
    136.44x = 16,905.15
  5. Step 5: Solve for x
    x = 16,905.15/136.44
  6. Step 6: Final answer
    x = 123.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.