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Finding the Fourth Proportional to 121.68, 181.58 and 108.70

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Solution

The fourth proportional to 121.68, 181.58 and 108.70 is: 162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.68 : 181.58 = 108.70 : x
  2. Step 2: Convert to fraction form
    121.68/181.58 = 108.70/x
  3. Step 3: Cross multiply
    121.68x = 181.58 × 108.70
  4. Step 4: Simplify right side
    121.68x = 19,737.20
  5. Step 5: Solve for x
    x = 19,737.20/121.68
  6. Step 6: Final answer
    x = 162.21

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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.