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Finding the Fourth Proportional to 122.47, 183.63 and 41.29

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Solution

The fourth proportional to 122.47, 183.63 and 41.29 is: 61.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.47 : 183.63 = 41.29 : x
  2. Step 2: Convert to fraction form
    122.47/183.63 = 41.29/x
  3. Step 3: Cross multiply
    122.47x = 183.63 × 41.29
  4. Step 4: Simplify right side
    122.47x = 7,582.08
  5. Step 5: Solve for x
    x = 7,582.08/122.47
  6. Step 6: Final answer
    x = 61.91

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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.