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Finding the Fourth Proportional to 121.11, 182.54 and 114.51

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Solution

The fourth proportional to 121.11, 182.54 and 114.51 is: 172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.11 : 182.54 = 114.51 : x
  2. Step 2: Convert to fraction form
    121.11/182.54 = 114.51/x
  3. Step 3: Cross multiply
    121.11x = 182.54 × 114.51
  4. Step 4: Simplify right side
    121.11x = 20,902.66
  5. Step 5: Solve for x
    x = 20,902.66/121.11
  6. Step 6: Final answer
    x = 172.59

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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.