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Finding the Fourth Proportional to 123.40, 185.08 and 82.99

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Solution

The fourth proportional to 123.40, 185.08 and 82.99 is: 124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 185.08 = 82.99 : x
  2. Step 2: Convert to fraction form
    123.40/185.08 = 82.99/x
  3. Step 3: Cross multiply
    123.40x = 185.08 × 82.99
  4. Step 4: Simplify right side
    123.40x = 15,359.79
  5. Step 5: Solve for x
    x = 15,359.79/123.40
  6. Step 6: Final answer
    x = 124.47

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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.