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Finding the Fourth Proportional to 81.32, 121.86 and 75.32

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Solution

The fourth proportional to 81.32, 121.86 and 75.32 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.32 : 121.86 = 75.32 : x
  2. Step 2: Convert to fraction form
    81.32/121.86 = 75.32/x
  3. Step 3: Cross multiply
    81.32x = 121.86 × 75.32
  4. Step 4: Simplify right side
    81.32x = 9,178.50
  5. Step 5: Solve for x
    x = 9,178.50/81.32
  6. Step 6: Final answer
    x = 112.87

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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.