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Finding the Fourth Proportional to 121.61, 181.66 and 97.59

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Solution

The fourth proportional to 121.61, 181.66 and 97.59 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.61 : 181.66 = 97.59 : x
  2. Step 2: Convert to fraction form
    121.61/181.66 = 97.59/x
  3. Step 3: Cross multiply
    121.61x = 181.66 × 97.59
  4. Step 4: Simplify right side
    121.61x = 17,728.20
  5. Step 5: Solve for x
    x = 17,728.20/121.61
  6. Step 6: Final answer
    x = 145.78

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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.