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Finding the Fourth Proportional to 123.93, 186.15 and 83.40

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Solution

The fourth proportional to 123.93, 186.15 and 83.40 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 186.15 = 83.40 : x
  2. Step 2: Convert to fraction form
    123.93/186.15 = 83.40/x
  3. Step 3: Cross multiply
    123.93x = 186.15 × 83.40
  4. Step 4: Simplify right side
    123.93x = 15,524.91
  5. Step 5: Solve for x
    x = 15,524.91/123.93
  6. Step 6: Final answer
    x = 125.27

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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.