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Finding the Fourth Proportional to 123.29, 184.85 and 77.73

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Solution

The fourth proportional to 123.29, 184.85 and 77.73 is: 116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.29 : 184.85 = 77.73 : x
  2. Step 2: Convert to fraction form
    123.29/184.85 = 77.73/x
  3. Step 3: Cross multiply
    123.29x = 184.85 × 77.73
  4. Step 4: Simplify right side
    123.29x = 14,368.39
  5. Step 5: Solve for x
    x = 14,368.39/123.29
  6. Step 6: Final answer
    x = 116.54

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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.