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Finding the Fourth Proportional to 123.81, 184.76 and 110.18

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Solution

The fourth proportional to 123.81, 184.76 and 110.18 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.81 : 184.76 = 110.18 : x
  2. Step 2: Convert to fraction form
    123.81/184.76 = 110.18/x
  3. Step 3: Cross multiply
    123.81x = 184.76 × 110.18
  4. Step 4: Simplify right side
    123.81x = 20,355.38
  5. Step 5: Solve for x
    x = 20,355.38/123.81
  6. Step 6: Final answer
    x = 164.41

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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.