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Finding the Fourth Proportional to 122.26, 168.74 and 78.02

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Solution

The fourth proportional to 122.26, 168.74 and 78.02 is: 107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.26 : 168.74 = 78.02 : x
  2. Step 2: Convert to fraction form
    122.26/168.74 = 78.02/x
  3. Step 3: Cross multiply
    122.26x = 168.74 × 78.02
  4. Step 4: Simplify right side
    122.26x = 13,165.09
  5. Step 5: Solve for x
    x = 13,165.09/122.26
  6. Step 6: Final answer
    x = 107.68

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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.