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Finding the Fourth Proportional to 121.60, 167.65 and 82.19

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Solution

The fourth proportional to 121.60, 167.65 and 82.19 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.60 : 167.65 = 82.19 : x
  2. Step 2: Convert to fraction form
    121.60/167.65 = 82.19/x
  3. Step 3: Cross multiply
    121.60x = 167.65 × 82.19
  4. Step 4: Simplify right side
    121.60x = 13,779.15
  5. Step 5: Solve for x
    x = 13,779.15/121.60
  6. Step 6: Final answer
    x = 113.32

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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.