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Finding the Fourth Proportional to 121.92, 167.16 and 121.56

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Solution

The fourth proportional to 121.92, 167.16 and 121.56 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 167.16 = 121.56 : x
  2. Step 2: Convert to fraction form
    121.92/167.16 = 121.56/x
  3. Step 3: Cross multiply
    121.92x = 167.16 × 121.56
  4. Step 4: Simplify right side
    121.92x = 20,319.97
  5. Step 5: Solve for x
    x = 20,319.97/121.92
  6. Step 6: Final answer
    x = 166.67

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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.