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Finding the Fourth Proportional to 122.59, 183.84 and 49.47

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Solution

The fourth proportional to 122.59, 183.84 and 49.47 is: 74.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.59 : 183.84 = 49.47 : x
  2. Step 2: Convert to fraction form
    122.59/183.84 = 49.47/x
  3. Step 3: Cross multiply
    122.59x = 183.84 × 49.47
  4. Step 4: Simplify right side
    122.59x = 9,094.56
  5. Step 5: Solve for x
    x = 9,094.56/122.59
  6. Step 6: Final answer
    x = 74.19

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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.