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Finding the Fourth Proportional to 121.48, 166.96 and 107.58

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Solution

The fourth proportional to 121.48, 166.96 and 107.58 is: 147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.48 : 166.96 = 107.58 : x
  2. Step 2: Convert to fraction form
    121.48/166.96 = 107.58/x
  3. Step 3: Cross multiply
    121.48x = 166.96 × 107.58
  4. Step 4: Simplify right side
    121.48x = 17,961.56
  5. Step 5: Solve for x
    x = 17,961.56/121.48
  6. Step 6: Final answer
    x = 147.86

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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.