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Finding the Fourth Proportional to 75,067.29, 103,356.81 and 63,713.12

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Solution

The fourth proportional to 75,067.29, 103,356.81 and 63,713.12 is: 87,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,067.29 : 103,356.81 = 63,713.12 : x
  2. Step 2: Convert to fraction form
    75,067.29/103,356.81 = 63,713.12/x
  3. Step 3: Cross multiply
    75,067.29x = 103,356.81 × 63,713.12
  4. Step 4: Simplify right side
    75,067.29x = 6,585,184,321.56
  5. Step 5: Solve for x
    x = 6,585,184,321.56/75,067.29
  6. Step 6: Final answer
    x = 87,723.75

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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.