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Finding the Fourth Proportional to 179,764.80, 269,431.20 and 74,529.60

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Solution

The fourth proportional to 179,764.80, 269,431.20 and 74,529.60 is: 111,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,764.80 : 269,431.20 = 74,529.60 : x
  2. Step 2: Convert to fraction form
    179,764.80/269,431.20 = 74,529.60/x
  3. Step 3: Cross multiply
    179,764.80x = 269,431.20 × 74,529.60
  4. Step 4: Simplify right side
    179,764.80x = 20,080,599,563.52
  5. Step 5: Solve for x
    x = 20,080,599,563.52/179,764.80
  6. Step 6: Final answer
    x = 111,704.85

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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.