Home / 122.20-183.24-50.14

Finding the Fourth Proportional to 122.20, 183.24 and 50.14

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Solution

The fourth proportional to 122.20, 183.24 and 50.14 is: 75.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.20 : 183.24 = 50.14 : x
  2. Step 2: Convert to fraction form
    122.20/183.24 = 50.14/x
  3. Step 3: Cross multiply
    122.20x = 183.24 × 50.14
  4. Step 4: Simplify right side
    122.20x = 9,187.65
  5. Step 5: Solve for x
    x = 9,187.65/122.20
  6. Step 6: Final answer
    x = 75.19

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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.