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Finding the Fourth Proportional to 100,157.70, 150,217.38 and 30,037.02

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Solution

The fourth proportional to 100,157.70, 150,217.38 and 30,037.02 is: 45,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.70 : 150,217.38 = 30,037.02 : x
  2. Step 2: Convert to fraction form
    100,157.70/150,217.38 = 30,037.02/x
  3. Step 3: Cross multiply
    100,157.70x = 150,217.38 × 30,037.02
  4. Step 4: Simplify right side
    100,157.70x = 4,512,082,447.41
  5. Step 5: Solve for x
    x = 4,512,082,447.41/100,157.70
  6. Step 6: Final answer
    x = 45,049.78

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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.