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Finding the Fourth Proportional to 123.39, 183.95 and 116.49

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Solution

The fourth proportional to 123.39, 183.95 and 116.49 is: 173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.39 : 183.95 = 116.49 : x
  2. Step 2: Convert to fraction form
    123.39/183.95 = 116.49/x
  3. Step 3: Cross multiply
    123.39x = 183.95 × 116.49
  4. Step 4: Simplify right side
    123.39x = 21,427.75
  5. Step 5: Solve for x
    x = 21,427.75/123.39
  6. Step 6: Final answer
    x = 173.66

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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.