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Finding the Fourth Proportional to 121.14, 180.45 and 116.69

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Solution

The fourth proportional to 121.14, 180.45 and 116.69 is: 173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.14 : 180.45 = 116.69 : x
  2. Step 2: Convert to fraction form
    121.14/180.45 = 116.69/x
  3. Step 3: Cross multiply
    121.14x = 180.45 × 116.69
  4. Step 4: Simplify right side
    121.14x = 21,055.81
  5. Step 5: Solve for x
    x = 21,055.81/121.14
  6. Step 6: Final answer
    x = 173.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.