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Finding the Fourth Proportional to 122.30, 183.26 and 85.68

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Solution

The fourth proportional to 122.30, 183.26 and 85.68 is: 128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.30 : 183.26 = 85.68 : x
  2. Step 2: Convert to fraction form
    122.30/183.26 = 85.68/x
  3. Step 3: Cross multiply
    122.30x = 183.26 × 85.68
  4. Step 4: Simplify right side
    122.30x = 15,701.72
  5. Step 5: Solve for x
    x = 15,701.72/122.30
  6. Step 6: Final answer
    x = 128.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.