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Finding the Fourth Proportional to 78,195.87, 117,293.78 and 67,634.50

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Solution

The fourth proportional to 78,195.87, 117,293.78 and 67,634.50 is: 101,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.87 : 117,293.78 = 67,634.50 : x
  2. Step 2: Convert to fraction form
    78,195.87/117,293.78 = 67,634.50/x
  3. Step 3: Cross multiply
    78,195.87x = 117,293.78 × 67,634.50
  4. Step 4: Simplify right side
    78,195.87x = 7,933,106,039.26
  5. Step 5: Solve for x
    x = 7,933,106,039.26/78,195.87
  6. Step 6: Final answer
    x = 101,451.73

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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.