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Finding the Fourth Proportional to 121.85, 181.65 and 108.08

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Solution

The fourth proportional to 121.85, 181.65 and 108.08 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.85 : 181.65 = 108.08 : x
  2. Step 2: Convert to fraction form
    121.85/181.65 = 108.08/x
  3. Step 3: Cross multiply
    121.85x = 181.65 × 108.08
  4. Step 4: Simplify right side
    121.85x = 19,631.82
  5. Step 5: Solve for x
    x = 19,631.82/121.85
  6. Step 6: Final answer
    x = 161.12

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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.