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Finding the Fourth Proportional to 122.81, 183.94 and 77.12

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Solution

The fourth proportional to 122.81, 183.94 and 77.12 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 183.94 = 77.12 : x
  2. Step 2: Convert to fraction form
    122.81/183.94 = 77.12/x
  3. Step 3: Cross multiply
    122.81x = 183.94 × 77.12
  4. Step 4: Simplify right side
    122.81x = 14,185.45
  5. Step 5: Solve for x
    x = 14,185.45/122.81
  6. Step 6: Final answer
    x = 115.51

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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.