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Finding the Fourth Proportional to 122.26, 168.63 and 113.03

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Solution

The fourth proportional to 122.26, 168.63 and 113.03 is: 155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.26 : 168.63 = 113.03 : x
  2. Step 2: Convert to fraction form
    122.26/168.63 = 113.03/x
  3. Step 3: Cross multiply
    122.26x = 168.63 × 113.03
  4. Step 4: Simplify right side
    122.26x = 19,060.25
  5. Step 5: Solve for x
    x = 19,060.25/122.26
  6. Step 6: Final answer
    x = 155.90

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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.