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Finding the Fourth Proportional to 78,163.43, 107,865.91 and 42,353.43

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Solution

The fourth proportional to 78,163.43, 107,865.91 and 42,353.43 is: 58,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.43 : 107,865.91 = 42,353.43 : x
  2. Step 2: Convert to fraction form
    78,163.43/107,865.91 = 42,353.43/x
  3. Step 3: Cross multiply
    78,163.43x = 107,865.91 × 42,353.43
  4. Step 4: Simplify right side
    78,163.43x = 4,568,491,268.57
  5. Step 5: Solve for x
    x = 4,568,491,268.57/78,163.43
  6. Step 6: Final answer
    x = 58,447.94

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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.