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Finding the Fourth Proportional to 54.81, 81.72 and 47.61

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Solution

The fourth proportional to 54.81, 81.72 and 47.61 is: 70.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.81 : 81.72 = 47.61 : x
  2. Step 2: Convert to fraction form
    54.81/81.72 = 47.61/x
  3. Step 3: Cross multiply
    54.81x = 81.72 × 47.61
  4. Step 4: Simplify right side
    54.81x = 3,890.69
  5. Step 5: Solve for x
    x = 3,890.69/54.81
  6. Step 6: Final answer
    x = 70.99

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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.