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Finding the Fourth Proportional to 122.22, 168.78 and 97.83

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Solution

The fourth proportional to 122.22, 168.78 and 97.83 is: 135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 168.78 = 97.83 : x
  2. Step 2: Convert to fraction form
    122.22/168.78 = 97.83/x
  3. Step 3: Cross multiply
    122.22x = 168.78 × 97.83
  4. Step 4: Simplify right side
    122.22x = 16,511.75
  5. Step 5: Solve for x
    x = 16,511.75/122.22
  6. Step 6: Final answer
    x = 135.10

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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.