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Finding the Fourth Proportional to 78,568.76, 117,850.30 and 34,195.54

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Solution

The fourth proportional to 78,568.76, 117,850.30 and 34,195.54 is: 51,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.76 : 117,850.30 = 34,195.54 : x
  2. Step 2: Convert to fraction form
    78,568.76/117,850.30 = 34,195.54/x
  3. Step 3: Cross multiply
    78,568.76x = 117,850.30 × 34,195.54
  4. Step 4: Simplify right side
    78,568.76x = 4,029,954,647.66
  5. Step 5: Solve for x
    x = 4,029,954,647.66/78,568.76
  6. Step 6: Final answer
    x = 51,292.07

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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.