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Finding the Fourth Proportional to 49.51, 67.81 and 47.78

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Solution

The fourth proportional to 49.51, 67.81 and 47.78 is: 65.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.51 : 67.81 = 47.78 : x
  2. Step 2: Convert to fraction form
    49.51/67.81 = 47.78/x
  3. Step 3: Cross multiply
    49.51x = 67.81 × 47.78
  4. Step 4: Simplify right side
    49.51x = 3,239.96
  5. Step 5: Solve for x
    x = 3,239.96/49.51
  6. Step 6: Final answer
    x = 65.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.