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Finding the Fourth Proportional to 122.10, 182.26 and 104.67

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Solution

The fourth proportional to 122.10, 182.26 and 104.67 is: 156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.10 : 182.26 = 104.67 : x
  2. Step 2: Convert to fraction form
    122.10/182.26 = 104.67/x
  3. Step 3: Cross multiply
    122.10x = 182.26 × 104.67
  4. Step 4: Simplify right side
    122.10x = 19,077.15
  5. Step 5: Solve for x
    x = 19,077.15/122.10
  6. Step 6: Final answer
    x = 156.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.