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Finding the Fourth Proportional to 81.22, 121.83 and 23.45

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Solution

The fourth proportional to 81.22, 121.83 and 23.45 is: 35.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.22 : 121.83 = 23.45 : x
  2. Step 2: Convert to fraction form
    81.22/121.83 = 23.45/x
  3. Step 3: Cross multiply
    81.22x = 121.83 × 23.45
  4. Step 4: Simplify right side
    81.22x = 2,856.91
  5. Step 5: Solve for x
    x = 2,856.91/81.22
  6. Step 6: Final answer
    x = 35.18

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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.