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Finding the Fourth Proportional to 70,165, 96,906.18 and 54,440.20

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Solution

The fourth proportional to 70,165, 96,906.18 and 54,440.20 is: 75,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,165 : 96,906.18 = 54,440.20 : x
  2. Step 2: Convert to fraction form
    70,165/96,906.18 = 54,440.20/x
  3. Step 3: Cross multiply
    70,165x = 96,906.18 × 54,440.20
  4. Step 4: Simplify right side
    70,165x = 5,275,591,820.44
  5. Step 5: Solve for x
    x = 5,275,591,820.44/70,165
  6. Step 6: Final answer
    x = 75,188.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.