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Finding the Fourth Proportional to 218,662.12, 327,738.30 and 100,345.96

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Solution

The fourth proportional to 218,662.12, 327,738.30 and 100,345.96 is: 150,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,662.12 : 327,738.30 = 100,345.96 : x
  2. Step 2: Convert to fraction form
    218,662.12/327,738.30 = 100,345.96/x
  3. Step 3: Cross multiply
    218,662.12x = 327,738.30 × 100,345.96
  4. Step 4: Simplify right side
    218,662.12x = 32,887,214,342.27
  5. Step 5: Solve for x
    x = 32,887,214,342.27/218,662.12
  6. Step 6: Final answer
    x = 150,401.97

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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.