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Finding the Fourth Proportional to 200,037.12, 299,899.92 and 100,145.84

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Solution

The fourth proportional to 200,037.12, 299,899.92 and 100,145.84 is: 150,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,037.12 : 299,899.92 = 100,145.84 : x
  2. Step 2: Convert to fraction form
    200,037.12/299,899.92 = 100,145.84/x
  3. Step 3: Cross multiply
    200,037.12x = 299,899.92 × 100,145.84
  4. Step 4: Simplify right side
    200,037.12x = 30,033,729,404.33
  5. Step 5: Solve for x
    x = 30,033,729,404.33/200,037.12
  6. Step 6: Final answer
    x = 150,140.78

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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.