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Finding the Fourth Proportional to 122.01, 183.08 and 112.83

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Solution

The fourth proportional to 122.01, 183.08 and 112.83 is: 169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.01 : 183.08 = 112.83 : x
  2. Step 2: Convert to fraction form
    122.01/183.08 = 112.83/x
  3. Step 3: Cross multiply
    122.01x = 183.08 × 112.83
  4. Step 4: Simplify right side
    122.01x = 20,656.92
  5. Step 5: Solve for x
    x = 20,656.92/122.01
  6. Step 6: Final answer
    x = 169.31

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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.