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Finding the Fourth Proportional to 78,096.78, 117,023.92 and 54,452.60

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Solution

The fourth proportional to 78,096.78, 117,023.92 and 54,452.60 is: 81,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096.78 : 117,023.92 = 54,452.60 : x
  2. Step 2: Convert to fraction form
    78,096.78/117,023.92 = 54,452.60/x
  3. Step 3: Cross multiply
    78,096.78x = 117,023.92 × 54,452.60
  4. Step 4: Simplify right side
    78,096.78x = 6,372,256,706.19
  5. Step 5: Solve for x
    x = 6,372,256,706.19/78,096.78
  6. Step 6: Final answer
    x = 81,594.36

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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.