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Finding the Fourth Proportional to 81.35, 121.86 and 50.82

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Solution

The fourth proportional to 81.35, 121.86 and 50.82 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.35 : 121.86 = 50.82 : x
  2. Step 2: Convert to fraction form
    81.35/121.86 = 50.82/x
  3. Step 3: Cross multiply
    81.35x = 121.86 × 50.82
  4. Step 4: Simplify right side
    81.35x = 6,192.93
  5. Step 5: Solve for x
    x = 6,192.93/81.35
  6. Step 6: Final answer
    x = 76.13

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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.