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Finding the Fourth Proportional to 121.80, 183.68 and 116.52

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Solution

The fourth proportional to 121.80, 183.68 and 116.52 is: 175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.80 : 183.68 = 116.52 : x
  2. Step 2: Convert to fraction form
    121.80/183.68 = 116.52/x
  3. Step 3: Cross multiply
    121.80x = 183.68 × 116.52
  4. Step 4: Simplify right side
    121.80x = 21,402.39
  5. Step 5: Solve for x
    x = 21,402.39/121.80
  6. Step 6: Final answer
    x = 175.72

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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.