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Finding the Fourth Proportional to 121.94, 181.91 and 113.21

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Solution

The fourth proportional to 121.94, 181.91 and 113.21 is: 168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 181.91 = 113.21 : x
  2. Step 2: Convert to fraction form
    121.94/181.91 = 113.21/x
  3. Step 3: Cross multiply
    121.94x = 181.91 × 113.21
  4. Step 4: Simplify right side
    121.94x = 20,594.03
  5. Step 5: Solve for x
    x = 20,594.03/121.94
  6. Step 6: Final answer
    x = 168.89

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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.