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Finding the Fourth Proportional to 78,469.20, 117,660.60 and 25,851.60

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Solution

The fourth proportional to 78,469.20, 117,660.60 and 25,851.60 is: 38,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,469.20 : 117,660.60 = 25,851.60 : x
  2. Step 2: Convert to fraction form
    78,469.20/117,660.60 = 25,851.60/x
  3. Step 3: Cross multiply
    78,469.20x = 117,660.60 × 25,851.60
  4. Step 4: Simplify right side
    78,469.20x = 3,041,714,766.96
  5. Step 5: Solve for x
    x = 3,041,714,766.96/78,469.20
  6. Step 6: Final answer
    x = 38,763.17

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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.