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Finding the Fourth Proportional to 121.77, 167.84 and 86.69

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Solution

The fourth proportional to 121.77, 167.84 and 86.69 is: 119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.77 : 167.84 = 86.69 : x
  2. Step 2: Convert to fraction form
    121.77/167.84 = 86.69/x
  3. Step 3: Cross multiply
    121.77x = 167.84 × 86.69
  4. Step 4: Simplify right side
    121.77x = 14,549.43
  5. Step 5: Solve for x
    x = 14,549.43/121.77
  6. Step 6: Final answer
    x = 119.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.