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Finding the Fourth Proportional to 121.53, 183.17 and 113.17

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Solution

The fourth proportional to 121.53, 183.17 and 113.17 is: 170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.53 : 183.17 = 113.17 : x
  2. Step 2: Convert to fraction form
    121.53/183.17 = 113.17/x
  3. Step 3: Cross multiply
    121.53x = 183.17 × 113.17
  4. Step 4: Simplify right side
    121.53x = 20,729.35
  5. Step 5: Solve for x
    x = 20,729.35/121.53
  6. Step 6: Final answer
    x = 170.57

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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.