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Finding the Fourth Proportional to 123.21, 183.83 and 109.53

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Solution

The fourth proportional to 123.21, 183.83 and 109.53 is: 163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.21 : 183.83 = 109.53 : x
  2. Step 2: Convert to fraction form
    123.21/183.83 = 109.53/x
  3. Step 3: Cross multiply
    123.21x = 183.83 × 109.53
  4. Step 4: Simplify right side
    123.21x = 20,134.35
  5. Step 5: Solve for x
    x = 20,134.35/123.21
  6. Step 6: Final answer
    x = 163.41

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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.