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Finding the Fourth Proportional to 75,378, 113,067 and 31,028.88

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Solution

The fourth proportional to 75,378, 113,067 and 31,028.88 is: 46,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,378 : 113,067 = 31,028.88 : x
  2. Step 2: Convert to fraction form
    75,378/113,067 = 31,028.88/x
  3. Step 3: Cross multiply
    75,378x = 113,067 × 31,028.88
  4. Step 4: Simplify right side
    75,378x = 3,508,342,374.96
  5. Step 5: Solve for x
    x = 3,508,342,374.96/75,378
  6. Step 6: Final answer
    x = 46,543.32

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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.