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Finding the Fourth Proportional to 43,399.62, 65,109.24 and 13,819.14

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Solution

The fourth proportional to 43,399.62, 65,109.24 and 13,819.14 is: 20,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,399.62 : 65,109.24 = 13,819.14 : x
  2. Step 2: Convert to fraction form
    43,399.62/65,109.24 = 13,819.14/x
  3. Step 3: Cross multiply
    43,399.62x = 65,109.24 × 13,819.14
  4. Step 4: Simplify right side
    43,399.62x = 899,753,702.85
  5. Step 5: Solve for x
    x = 899,753,702.85/43,399.62
  6. Step 6: Final answer
    x = 20,731.83

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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.