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Finding the Fourth Proportional to 82.74, 123.44 and 78.87

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Solution

The fourth proportional to 82.74, 123.44 and 78.87 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.74 : 123.44 = 78.87 : x
  2. Step 2: Convert to fraction form
    82.74/123.44 = 78.87/x
  3. Step 3: Cross multiply
    82.74x = 123.44 × 78.87
  4. Step 4: Simplify right side
    82.74x = 9,735.71
  5. Step 5: Solve for x
    x = 9,735.71/82.74
  6. Step 6: Final answer
    x = 117.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.