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Finding the Fourth Proportional to 122.70, 185.03 and 108.30

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Solution

The fourth proportional to 122.70, 185.03 and 108.30 is: 163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.70 : 185.03 = 108.30 : x
  2. Step 2: Convert to fraction form
    122.70/185.03 = 108.30/x
  3. Step 3: Cross multiply
    122.70x = 185.03 × 108.30
  4. Step 4: Simplify right side
    122.70x = 20,038.21
  5. Step 5: Solve for x
    x = 20,038.21/122.70
  6. Step 6: Final answer
    x = 163.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.