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Finding the Fourth Proportional to 80,409.60, 120,626.28 and 27,804.96

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Solution

The fourth proportional to 80,409.60, 120,626.28 and 27,804.96 is: 41,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409.60 : 120,626.28 = 27,804.96 : x
  2. Step 2: Convert to fraction form
    80,409.60/120,626.28 = 27,804.96/x
  3. Step 3: Cross multiply
    80,409.60x = 120,626.28 × 27,804.96
  4. Step 4: Simplify right side
    80,409.60x = 3,354,008,890.35
  5. Step 5: Solve for x
    x = 3,354,008,890.35/80,409.60
  6. Step 6: Final answer
    x = 41,711.55

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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.