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Finding the Fourth Proportional to 123.49, 185.01 and 82.99

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Solution

The fourth proportional to 123.49, 185.01 and 82.99 is: 124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.49 : 185.01 = 82.99 : x
  2. Step 2: Convert to fraction form
    123.49/185.01 = 82.99/x
  3. Step 3: Cross multiply
    123.49x = 185.01 × 82.99
  4. Step 4: Simplify right side
    123.49x = 15,353.98
  5. Step 5: Solve for x
    x = 15,353.98/123.49
  6. Step 6: Final answer
    x = 124.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.