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Finding the Fourth Proportional to 122.01, 168.09 and 100.14

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Solution

The fourth proportional to 122.01, 168.09 and 100.14 is: 137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.01 : 168.09 = 100.14 : x
  2. Step 2: Convert to fraction form
    122.01/168.09 = 100.14/x
  3. Step 3: Cross multiply
    122.01x = 168.09 × 100.14
  4. Step 4: Simplify right side
    122.01x = 16,832.53
  5. Step 5: Solve for x
    x = 16,832.53/122.01
  6. Step 6: Final answer
    x = 137.96

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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.