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Finding the Fourth Proportional to 123.62, 184.96 and 122.74

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Solution

The fourth proportional to 123.62, 184.96 and 122.74 is: 183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.62 : 184.96 = 122.74 : x
  2. Step 2: Convert to fraction form
    123.62/184.96 = 122.74/x
  3. Step 3: Cross multiply
    123.62x = 184.96 × 122.74
  4. Step 4: Simplify right side
    123.62x = 22,701.99
  5. Step 5: Solve for x
    x = 22,701.99/123.62
  6. Step 6: Final answer
    x = 183.64

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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.