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Finding the Fourth Proportional to 139.44, 209.40 and 82.56

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Solution

The fourth proportional to 139.44, 209.40 and 82.56 is: 123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.44 : 209.40 = 82.56 : x
  2. Step 2: Convert to fraction form
    139.44/209.40 = 82.56/x
  3. Step 3: Cross multiply
    139.44x = 209.40 × 82.56
  4. Step 4: Simplify right side
    139.44x = 17,288.06
  5. Step 5: Solve for x
    x = 17,288.06/139.44
  6. Step 6: Final answer
    x = 123.98

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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.