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Finding the Fourth Proportional to 126,821.80, 189,843.90 and 74,074.60

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Solution

The fourth proportional to 126,821.80, 189,843.90 and 74,074.60 is: 110,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,821.80 : 189,843.90 = 74,074.60 : x
  2. Step 2: Convert to fraction form
    126,821.80/189,843.90 = 74,074.60/x
  3. Step 3: Cross multiply
    126,821.80x = 189,843.90 × 74,074.60
  4. Step 4: Simplify right side
    126,821.80x = 14,062,610,954.94
  5. Step 5: Solve for x
    x = 14,062,610,954.94/126,821.80
  6. Step 6: Final answer
    x = 110,884.81

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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.