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Finding the Fourth Proportional to 150,157.38, 207,217.20 and 82,174.38

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Solution

The fourth proportional to 150,157.38, 207,217.20 and 82,174.38 is: 113,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,157.38 : 207,217.20 = 82,174.38 : x
  2. Step 2: Convert to fraction form
    150,157.38/207,217.20 = 82,174.38/x
  3. Step 3: Cross multiply
    150,157.38x = 207,217.20 × 82,174.38
  4. Step 4: Simplify right side
    150,157.38x = 17,027,944,935.34
  5. Step 5: Solve for x
    x = 17,027,944,935.34/150,157.38
  6. Step 6: Final answer
    x = 113,400.65

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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.