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Finding the Fourth Proportional to 202,198.17, 302,891.31 and 100,690.32

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Solution

The fourth proportional to 202,198.17, 302,891.31 and 100,690.32 is: 150,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.17 : 302,891.31 = 100,690.32 : x
  2. Step 2: Convert to fraction form
    202,198.17/302,891.31 = 100,690.32/x
  3. Step 3: Cross multiply
    202,198.17x = 302,891.31 × 100,690.32
  4. Step 4: Simplify right side
    202,198.17x = 30,498,222,929.12
  5. Step 5: Solve for x
    x = 30,498,222,929.12/202,198.17
  6. Step 6: Final answer
    x = 150,833.33

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1.5x scale

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.