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Finding the Fourth Proportional to 121.96, 184.03 and 116.97

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Solution

The fourth proportional to 121.96, 184.03 and 116.97 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.96 : 184.03 = 116.97 : x
  2. Step 2: Convert to fraction form
    121.96/184.03 = 116.97/x
  3. Step 3: Cross multiply
    121.96x = 184.03 × 116.97
  4. Step 4: Simplify right side
    121.96x = 21,525.99
  5. Step 5: Solve for x
    x = 21,525.99/121.96
  6. Step 6: Final answer
    x = 176.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.