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Finding the Fourth Proportional to 82.68, 123.94 and 78.63

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Solution

The fourth proportional to 82.68, 123.94 and 78.63 is: 117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.68 : 123.94 = 78.63 : x
  2. Step 2: Convert to fraction form
    82.68/123.94 = 78.63/x
  3. Step 3: Cross multiply
    82.68x = 123.94 × 78.63
  4. Step 4: Simplify right side
    82.68x = 9,745.40
  5. Step 5: Solve for x
    x = 9,745.40/82.68
  6. Step 6: Final answer
    x = 117.87

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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.