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Finding the Fourth Proportional to 150,140.86, 207,191.19 and 82,157.56

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Solution

The fourth proportional to 150,140.86, 207,191.19 and 82,157.56 is: 113,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,140.86 : 207,191.19 = 82,157.56 : x
  2. Step 2: Convert to fraction form
    150,140.86/207,191.19 = 82,157.56/x
  3. Step 3: Cross multiply
    150,140.86x = 207,191.19 × 82,157.56
  4. Step 4: Simplify right side
    150,140.86x = 17,022,322,623.90
  5. Step 5: Solve for x
    x = 17,022,322,623.90/150,140.86
  6. Step 6: Final answer
    x = 113,375.68

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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.