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Finding the Fourth Proportional to 121.50, 182.26 and 107.92

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Solution

The fourth proportional to 121.50, 182.26 and 107.92 is: 161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.50 : 182.26 = 107.92 : x
  2. Step 2: Convert to fraction form
    121.50/182.26 = 107.92/x
  3. Step 3: Cross multiply
    121.50x = 182.26 × 107.92
  4. Step 4: Simplify right side
    121.50x = 19,669.86
  5. Step 5: Solve for x
    x = 19,669.86/121.50
  6. Step 6: Final answer
    x = 161.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.