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Finding the Fourth Proportional to 123.56, 184.37 and 109.90

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Solution

The fourth proportional to 123.56, 184.37 and 109.90 is: 163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.56 : 184.37 = 109.90 : x
  2. Step 2: Convert to fraction form
    123.56/184.37 = 109.90/x
  3. Step 3: Cross multiply
    123.56x = 184.37 × 109.90
  4. Step 4: Simplify right side
    123.56x = 20,262.26
  5. Step 5: Solve for x
    x = 20,262.26/123.56
  6. Step 6: Final answer
    x = 163.99

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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.