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Finding the Fourth Proportional to 218,458.29, 327,724.79 and 100,139.77

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Solution

The fourth proportional to 218,458.29, 327,724.79 and 100,139.77 is: 150,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,458.29 : 327,724.79 = 100,139.77 : x
  2. Step 2: Convert to fraction form
    218,458.29/327,724.79 = 100,139.77/x
  3. Step 3: Cross multiply
    218,458.29x = 327,724.79 × 100,139.77
  4. Step 4: Simplify right side
    218,458.29x = 32,818,285,093.90
  5. Step 5: Solve for x
    x = 32,818,285,093.90/218,458.29
  6. Step 6: Final answer
    x = 150,226.78

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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.