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Finding the Fourth Proportional to 78,446.40, 117,644.32 and 25,843.36

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Solution

The fourth proportional to 78,446.40, 117,644.32 and 25,843.36 is: 38,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,446.40 : 117,644.32 = 25,843.36 : x
  2. Step 2: Convert to fraction form
    78,446.40/117,644.32 = 25,843.36/x
  3. Step 3: Cross multiply
    78,446.40x = 117,644.32 × 25,843.36
  4. Step 4: Simplify right side
    78,446.40x = 3,040,324,513.72
  5. Step 5: Solve for x
    x = 3,040,324,513.72/78,446.40
  6. Step 6: Final answer
    x = 38,756.71

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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.