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Finding the Fourth Proportional to 121.12, 167.18 and 117.27

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Solution

The fourth proportional to 121.12, 167.18 and 117.27 is: 161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 167.18 = 117.27 : x
  2. Step 2: Convert to fraction form
    121.12/167.18 = 117.27/x
  3. Step 3: Cross multiply
    121.12x = 167.18 × 117.27
  4. Step 4: Simplify right side
    121.12x = 19,605.20
  5. Step 5: Solve for x
    x = 19,605.20/121.12
  6. Step 6: Final answer
    x = 161.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.