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Finding the Fourth Proportional to 122.57, 183.87 and 49.47

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Solution

The fourth proportional to 122.57, 183.87 and 49.47 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.57 : 183.87 = 49.47 : x
  2. Step 2: Convert to fraction form
    122.57/183.87 = 49.47/x
  3. Step 3: Cross multiply
    122.57x = 183.87 × 49.47
  4. Step 4: Simplify right side
    122.57x = 9,096.05
  5. Step 5: Solve for x
    x = 9,096.05/122.57
  6. Step 6: Final answer
    x = 74.21

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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.