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Finding the Fourth Proportional to 82.06, 123.66 and 67.93

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Solution

The fourth proportional to 82.06, 123.66 and 67.93 is: 102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.06 : 123.66 = 67.93 : x
  2. Step 2: Convert to fraction form
    82.06/123.66 = 67.93/x
  3. Step 3: Cross multiply
    82.06x = 123.66 × 67.93
  4. Step 4: Simplify right side
    82.06x = 8,400.22
  5. Step 5: Solve for x
    x = 8,400.22/82.06
  6. Step 6: Final answer
    x = 102.37

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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.