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Finding the Fourth Proportional to 122.90, 170.46 and 119.57

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Solution

The fourth proportional to 122.90, 170.46 and 119.57 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.90 : 170.46 = 119.57 : x
  2. Step 2: Convert to fraction form
    122.90/170.46 = 119.57/x
  3. Step 3: Cross multiply
    122.90x = 170.46 × 119.57
  4. Step 4: Simplify right side
    122.90x = 20,381.05
  5. Step 5: Solve for x
    x = 20,381.05/122.90
  6. Step 6: Final answer
    x = 165.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.