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Finding the Fourth Proportional to 121.12, 166.80 and 119.04

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Solution

The fourth proportional to 121.12, 166.80 and 119.04 is: 163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.12 : 166.80 = 119.04 : x
  2. Step 2: Convert to fraction form
    121.12/166.80 = 119.04/x
  3. Step 3: Cross multiply
    121.12x = 166.80 × 119.04
  4. Step 4: Simplify right side
    121.12x = 19,855.87
  5. Step 5: Solve for x
    x = 19,855.87/121.12
  6. Step 6: Final answer
    x = 163.94

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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.