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Finding the Fourth Proportional to 121.81, 167.19 and 111.43

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Solution

The fourth proportional to 121.81, 167.19 and 111.43 is: 152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.81 : 167.19 = 111.43 : x
  2. Step 2: Convert to fraction form
    121.81/167.19 = 111.43/x
  3. Step 3: Cross multiply
    121.81x = 167.19 × 111.43
  4. Step 4: Simplify right side
    121.81x = 18,628.87
  5. Step 5: Solve for x
    x = 18,628.87/121.81
  6. Step 6: Final answer
    x = 152.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.