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Finding the Fourth Proportional to 218,550.60, 327,855.10 and 76,379.40

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Solution

The fourth proportional to 218,550.60, 327,855.10 and 76,379.40 is: 114,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,550.60 : 327,855.10 = 76,379.40 : x
  2. Step 2: Convert to fraction form
    218,550.60/327,855.10 = 76,379.40/x
  3. Step 3: Cross multiply
    218,550.60x = 327,855.10 × 76,379.40
  4. Step 4: Simplify right side
    218,550.60x = 25,041,375,824.94
  5. Step 5: Solve for x
    x = 25,041,375,824.94/218,550.60
  6. Step 6: Final answer
    x = 114,579.30

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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.