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Finding the Fourth Proportional to 49,078.44, 73,578.66 and 21,357

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Solution

The fourth proportional to 49,078.44, 73,578.66 and 21,357 is: 32,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078.44 : 73,578.66 = 21,357 : x
  2. Step 2: Convert to fraction form
    49,078.44/73,578.66 = 21,357/x
  3. Step 3: Cross multiply
    49,078.44x = 73,578.66 × 21,357
  4. Step 4: Simplify right side
    49,078.44x = 1,571,419,441.62
  5. Step 5: Solve for x
    x = 1,571,419,441.62/49,078.44
  6. Step 6: Final answer
    x = 32,018.53

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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.