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Finding the Fourth Proportional to 209,198.28, 288,696.57 and 113,704.98

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Solution

The fourth proportional to 209,198.28, 288,696.57 and 113,704.98 is: 156,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,198.28 : 288,696.57 = 113,704.98 : x
  2. Step 2: Convert to fraction form
    209,198.28/288,696.57 = 113,704.98/x
  3. Step 3: Cross multiply
    209,198.28x = 288,696.57 × 113,704.98
  4. Step 4: Simplify right side
    209,198.28x = 32,826,237,717.92
  5. Step 5: Solve for x
    x = 32,826,237,717.92/209,198.28
  6. Step 6: Final answer
    x = 156,914.47

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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.