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Finding the Fourth Proportional to 82.07, 123.05 and 27.94

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Solution

The fourth proportional to 82.07, 123.05 and 27.94 is: 41.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.07 : 123.05 = 27.94 : x
  2. Step 2: Convert to fraction form
    82.07/123.05 = 27.94/x
  3. Step 3: Cross multiply
    82.07x = 123.05 × 27.94
  4. Step 4: Simplify right side
    82.07x = 3,437.78
  5. Step 5: Solve for x
    x = 3,437.78/82.07
  6. Step 6: Final answer
    x = 41.89

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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.