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Finding the Fourth Proportional to 54.70, 81.73 and 47.50

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Solution

The fourth proportional to 54.70, 81.73 and 47.50 is: 70.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.70 : 81.73 = 47.50 : x
  2. Step 2: Convert to fraction form
    54.70/81.73 = 47.50/x
  3. Step 3: Cross multiply
    54.70x = 81.73 × 47.50
  4. Step 4: Simplify right side
    54.70x = 3,882.18
  5. Step 5: Solve for x
    x = 3,882.18/54.70
  6. Step 6: Final answer
    x = 70.97

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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.