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Finding the Fourth Proportional to 78,540.96, 117,786.48 and 25,940.64

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Solution

The fourth proportional to 78,540.96, 117,786.48 and 25,940.64 is: 38,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540.96 : 117,786.48 = 25,940.64 : x
  2. Step 2: Convert to fraction form
    78,540.96/117,786.48 = 25,940.64/x
  3. Step 3: Cross multiply
    78,540.96x = 117,786.48 × 25,940.64
  4. Step 4: Simplify right side
    78,540.96x = 3,055,456,674.55
  5. Step 5: Solve for x
    x = 3,055,456,674.55/78,540.96
  6. Step 6: Final answer
    x = 38,902.72

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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.