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Finding the Fourth Proportional to 78,163.41, 107,865.33 and 42,354.39

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Solution

The fourth proportional to 78,163.41, 107,865.33 and 42,354.39 is: 58,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,163.41 : 107,865.33 = 42,354.39 : x
  2. Step 2: Convert to fraction form
    78,163.41/107,865.33 = 42,354.39/x
  3. Step 3: Cross multiply
    78,163.41x = 107,865.33 × 42,354.39
  4. Step 4: Simplify right side
    78,163.41x = 4,568,570,254.30
  5. Step 5: Solve for x
    x = 4,568,570,254.30/78,163.41
  6. Step 6: Final answer
    x = 58,448.96

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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.