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Finding the Fourth Proportional to 121.52, 166.60 and 119.36

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Solution

The fourth proportional to 121.52, 166.60 and 119.36 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.52 : 166.60 = 119.36 : x
  2. Step 2: Convert to fraction form
    121.52/166.60 = 119.36/x
  3. Step 3: Cross multiply
    121.52x = 166.60 × 119.36
  4. Step 4: Simplify right side
    121.52x = 19,885.38
  5. Step 5: Solve for x
    x = 19,885.38/121.52
  6. Step 6: Final answer
    x = 163.64

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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.