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Finding the Fourth Proportional to 123.72, 184.40 and 122.78

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Solution

The fourth proportional to 123.72, 184.40 and 122.78 is: 183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 184.40 = 122.78 : x
  2. Step 2: Convert to fraction form
    123.72/184.40 = 122.78/x
  3. Step 3: Cross multiply
    123.72x = 184.40 × 122.78
  4. Step 4: Simplify right side
    123.72x = 22,640.63
  5. Step 5: Solve for x
    x = 22,640.63/123.72
  6. Step 6: Final answer
    x = 183.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.