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Finding the Fourth Proportional to 100,378.92, 150,605.28 and 41,198.64

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Solution

The fourth proportional to 100,378.92, 150,605.28 and 41,198.64 is: 61,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.92 : 150,605.28 = 41,198.64 : x
  2. Step 2: Convert to fraction form
    100,378.92/150,605.28 = 41,198.64/x
  3. Step 3: Cross multiply
    100,378.92x = 150,605.28 × 41,198.64
  4. Step 4: Simplify right side
    100,378.92x = 6,204,732,712.82
  5. Step 5: Solve for x
    x = 6,204,732,712.82/100,378.92
  6. Step 6: Final answer
    x = 61,813.10

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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.