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Finding the Fourth Proportional to 121.42, 166.57 and 118.23

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Solution

The fourth proportional to 121.42, 166.57 and 118.23 is: 162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.42 : 166.57 = 118.23 : x
  2. Step 2: Convert to fraction form
    121.42/166.57 = 118.23/x
  3. Step 3: Cross multiply
    121.42x = 166.57 × 118.23
  4. Step 4: Simplify right side
    121.42x = 19,693.57
  5. Step 5: Solve for x
    x = 19,693.57/121.42
  6. Step 6: Final answer
    x = 162.19

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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.