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Finding the Fourth Proportional to 81.26, 121.68 and 48.74

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Solution

The fourth proportional to 81.26, 121.68 and 48.74 is: 72.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.26 : 121.68 = 48.74 : x
  2. Step 2: Convert to fraction form
    81.26/121.68 = 48.74/x
  3. Step 3: Cross multiply
    81.26x = 121.68 × 48.74
  4. Step 4: Simplify right side
    81.26x = 5,930.68
  5. Step 5: Solve for x
    x = 5,930.68/81.26
  6. Step 6: Final answer
    x = 72.98

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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.