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Finding the Fourth Proportional to 122.09, 168.48 and 77.85

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Solution

The fourth proportional to 122.09, 168.48 and 77.85 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 168.48 = 77.85 : x
  2. Step 2: Convert to fraction form
    122.09/168.48 = 77.85/x
  3. Step 3: Cross multiply
    122.09x = 168.48 × 77.85
  4. Step 4: Simplify right side
    122.09x = 13,116.17
  5. Step 5: Solve for x
    x = 13,116.17/122.09
  6. Step 6: Final answer
    x = 107.43

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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.