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Finding the Fourth Proportional to 121.73, 181.29 and 113.94

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Solution

The fourth proportional to 121.73, 181.29 and 113.94 is: 169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.73 : 181.29 = 113.94 : x
  2. Step 2: Convert to fraction form
    121.73/181.29 = 113.94/x
  3. Step 3: Cross multiply
    121.73x = 181.29 × 113.94
  4. Step 4: Simplify right side
    121.73x = 20,656.18
  5. Step 5: Solve for x
    x = 20,656.18/121.73
  6. Step 6: Final answer
    x = 169.70

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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.