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Finding the Fourth Proportional to 121.89, 167.83 and 113.39

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Solution

The fourth proportional to 121.89, 167.83 and 113.39 is: 156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.89 : 167.83 = 113.39 : x
  2. Step 2: Convert to fraction form
    121.89/167.83 = 113.39/x
  3. Step 3: Cross multiply
    121.89x = 167.83 × 113.39
  4. Step 4: Simplify right side
    121.89x = 19,030.24
  5. Step 5: Solve for x
    x = 19,030.24/121.89
  6. Step 6: Final answer
    x = 156.13

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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.