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Finding the Fourth Proportional to 121.92, 183.21 and 113.71

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Solution

The fourth proportional to 121.92, 183.21 and 113.71 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 183.21 = 113.71 : x
  2. Step 2: Convert to fraction form
    121.92/183.21 = 113.71/x
  3. Step 3: Cross multiply
    121.92x = 183.21 × 113.71
  4. Step 4: Simplify right side
    121.92x = 20,832.81
  5. Step 5: Solve for x
    x = 20,832.81/121.92
  6. Step 6: Final answer
    x = 170.87

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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.