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Finding the Fourth Proportional to 121.50, 167.69 and 77.83

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Solution

The fourth proportional to 121.50, 167.69 and 77.83 is: 107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.50 : 167.69 = 77.83 : x
  2. Step 2: Convert to fraction form
    121.50/167.69 = 77.83/x
  3. Step 3: Cross multiply
    121.50x = 167.69 × 77.83
  4. Step 4: Simplify right side
    121.50x = 13,051.31
  5. Step 5: Solve for x
    x = 13,051.31/121.50
  6. Step 6: Final answer
    x = 107.42

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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.