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Finding the Fourth Proportional to 121.20, 180.83 and 109.68

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Solution

The fourth proportional to 121.20, 180.83 and 109.68 is: 163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.20 : 180.83 = 109.68 : x
  2. Step 2: Convert to fraction form
    121.20/180.83 = 109.68/x
  3. Step 3: Cross multiply
    121.20x = 180.83 × 109.68
  4. Step 4: Simplify right side
    121.20x = 19,832.89
  5. Step 5: Solve for x
    x = 19,832.89/121.20
  6. Step 6: Final answer
    x = 163.64

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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.