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Finding the Fourth Proportional to 80,120.70, 120,144.60 and 35,724.60

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Solution

The fourth proportional to 80,120.70, 120,144.60 and 35,724.60 is: 53,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,120.70 : 120,144.60 = 35,724.60 : x
  2. Step 2: Convert to fraction form
    80,120.70/120,144.60 = 35,724.60/x
  3. Step 3: Cross multiply
    80,120.70x = 120,144.60 × 35,724.60
  4. Step 4: Simplify right side
    80,120.70x = 4,292,117,777.16
  5. Step 5: Solve for x
    x = 4,292,117,777.16/80,120.70
  6. Step 6: Final answer
    x = 53,570.65

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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.