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Finding the Fourth Proportional to 48.69, 73.43 and 47.78

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Solution

The fourth proportional to 48.69, 73.43 and 47.78 is: 72.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.69 : 73.43 = 47.78 : x
  2. Step 2: Convert to fraction form
    48.69/73.43 = 47.78/x
  3. Step 3: Cross multiply
    48.69x = 73.43 × 47.78
  4. Step 4: Simplify right side
    48.69x = 3,508.25
  5. Step 5: Solve for x
    x = 3,508.25/48.69
  6. Step 6: Final answer
    x = 72.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.