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Finding the Fourth Proportional to 75,367, 104,007.78 and 41,378.68

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Solution

The fourth proportional to 75,367, 104,007.78 and 41,378.68 is: 57,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,367 : 104,007.78 = 41,378.68 : x
  2. Step 2: Convert to fraction form
    75,367/104,007.78 = 41,378.68/x
  3. Step 3: Cross multiply
    75,367x = 104,007.78 × 41,378.68
  4. Step 4: Simplify right side
    75,367x = 4,303,704,646.13
  5. Step 5: Solve for x
    x = 4,303,704,646.13/75,367
  6. Step 6: Final answer
    x = 57,103.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.