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Finding the Fourth Proportional to 75,377.78, 113,020.19 and 25,453.12

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Solution

The fourth proportional to 75,377.78, 113,020.19 and 25,453.12 is: 38,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,377.78 : 113,020.19 = 25,453.12 : x
  2. Step 2: Convert to fraction form
    75,377.78/113,020.19 = 25,453.12/x
  3. Step 3: Cross multiply
    75,377.78x = 113,020.19 × 25,453.12
  4. Step 4: Simplify right side
    75,377.78x = 2,876,716,458.49
  5. Step 5: Solve for x
    x = 2,876,716,458.49/75,377.78
  6. Step 6: Final answer
    x = 38,163.98

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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.