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Finding the Fourth Proportional to 122.75, 183.81 and 84.14

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Solution

The fourth proportional to 122.75, 183.81 and 84.14 is: 125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.75 : 183.81 = 84.14 : x
  2. Step 2: Convert to fraction form
    122.75/183.81 = 84.14/x
  3. Step 3: Cross multiply
    122.75x = 183.81 × 84.14
  4. Step 4: Simplify right side
    122.75x = 15,465.77
  5. Step 5: Solve for x
    x = 15,465.77/122.75
  6. Step 6: Final answer
    x = 125.99

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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.