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Finding the Fourth Proportional to 122.19, 182.78 and 81.59

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Solution

The fourth proportional to 122.19, 182.78 and 81.59 is: 122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.19 : 182.78 = 81.59 : x
  2. Step 2: Convert to fraction form
    122.19/182.78 = 81.59/x
  3. Step 3: Cross multiply
    122.19x = 182.78 × 81.59
  4. Step 4: Simplify right side
    122.19x = 14,911.70
  5. Step 5: Solve for x
    x = 14,911.70/122.19
  6. Step 6: Final answer
    x = 122.04

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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.