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Finding the Fourth Proportional to 122.13, 167.38 and 121.19

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Solution

The fourth proportional to 122.13, 167.38 and 121.19 is: 166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.13 : 167.38 = 121.19 : x
  2. Step 2: Convert to fraction form
    122.13/167.38 = 121.19/x
  3. Step 3: Cross multiply
    122.13x = 167.38 × 121.19
  4. Step 4: Simplify right side
    122.13x = 20,283.64
  5. Step 5: Solve for x
    x = 20,283.64/122.13
  6. Step 6: Final answer
    x = 166.08

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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.