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Finding the Fourth Proportional to 121.52, 183.18 and 114.56

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Solution

The fourth proportional to 121.52, 183.18 and 114.56 is: 172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.52 : 183.18 = 114.56 : x
  2. Step 2: Convert to fraction form
    121.52/183.18 = 114.56/x
  3. Step 3: Cross multiply
    121.52x = 183.18 × 114.56
  4. Step 4: Simplify right side
    121.52x = 20,985.10
  5. Step 5: Solve for x
    x = 20,985.10/121.52
  6. Step 6: Final answer
    x = 172.69

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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.