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Finding the Fourth Proportional to 123.77, 184.80 and 108.27

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Solution

The fourth proportional to 123.77, 184.80 and 108.27 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.77 : 184.80 = 108.27 : x
  2. Step 2: Convert to fraction form
    123.77/184.80 = 108.27/x
  3. Step 3: Cross multiply
    123.77x = 184.80 × 108.27
  4. Step 4: Simplify right side
    123.77x = 20,008.30
  5. Step 5: Solve for x
    x = 20,008.30/123.77
  6. Step 6: Final answer
    x = 161.66

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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.