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Finding the Fourth Proportional to 82.07, 123.66 and 67.94

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Solution

The fourth proportional to 82.07, 123.66 and 67.94 is: 102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.07 : 123.66 = 67.94 : x
  2. Step 2: Convert to fraction form
    82.07/123.66 = 67.94/x
  3. Step 3: Cross multiply
    82.07x = 123.66 × 67.94
  4. Step 4: Simplify right side
    82.07x = 8,400.50
  5. Step 5: Solve for x
    x = 8,400.50/82.07
  6. Step 6: Final answer
    x = 102.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.