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Finding the Fourth Proportional to 122.99, 185.13 and 111.83

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Solution

The fourth proportional to 122.99, 185.13 and 111.83 is: 168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.99 : 185.13 = 111.83 : x
  2. Step 2: Convert to fraction form
    122.99/185.13 = 111.83/x
  3. Step 3: Cross multiply
    122.99x = 185.13 × 111.83
  4. Step 4: Simplify right side
    122.99x = 20,702.16
  5. Step 5: Solve for x
    x = 20,702.16/122.99
  6. Step 6: Final answer
    x = 168.33

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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.