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Finding the Fourth Proportional to 43,198.78, 64,788.45 and 15,496.78

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Solution

The fourth proportional to 43,198.78, 64,788.45 and 15,496.78 is: 23,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,198.78 : 64,788.45 = 15,496.78 : x
  2. Step 2: Convert to fraction form
    43,198.78/64,788.45 = 15,496.78/x
  3. Step 3: Cross multiply
    43,198.78x = 64,788.45 × 15,496.78
  4. Step 4: Simplify right side
    43,198.78x = 1,004,012,556.90
  5. Step 5: Solve for x
    x = 1,004,012,556.90/43,198.78
  6. Step 6: Final answer
    x = 23,241.69

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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.