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Finding the Fourth Proportional to 122.06, 168.28 and 97.24

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Solution

The fourth proportional to 122.06, 168.28 and 97.24 is: 134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.06 : 168.28 = 97.24 : x
  2. Step 2: Convert to fraction form
    122.06/168.28 = 97.24/x
  3. Step 3: Cross multiply
    122.06x = 168.28 × 97.24
  4. Step 4: Simplify right side
    122.06x = 16,362.96
  5. Step 5: Solve for x
    x = 16,362.96/122.06
  6. Step 6: Final answer
    x = 134.06

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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.