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Finding the Fourth Proportional to 75,078.78, 103,611.87 and 41,544.78

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Solution

The fourth proportional to 75,078.78, 103,611.87 and 41,544.78 is: 57,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,078.78 : 103,611.87 = 41,544.78 : x
  2. Step 2: Convert to fraction form
    75,078.78/103,611.87 = 41,544.78/x
  3. Step 3: Cross multiply
    75,078.78x = 103,611.87 × 41,544.78
  4. Step 4: Simplify right side
    75,078.78x = 4,304,532,344.54
  5. Step 5: Solve for x
    x = 4,304,532,344.54/75,078.78
  6. Step 6: Final answer
    x = 57,333.54

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1.5x scale

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.