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Finding the Fourth Proportional to 68.73, 102.81 and 50.64

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Solution

The fourth proportional to 68.73, 102.81 and 50.64 is: 75.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.73 : 102.81 = 50.64 : x
  2. Step 2: Convert to fraction form
    68.73/102.81 = 50.64/x
  3. Step 3: Cross multiply
    68.73x = 102.81 × 50.64
  4. Step 4: Simplify right side
    68.73x = 5,206.30
  5. Step 5: Solve for x
    x = 5,206.30/68.73
  6. Step 6: Final answer
    x = 75.75

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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.