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Finding the Fourth Proportional to 43,351.96, 65,021.30 and 13,765.96

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Solution

The fourth proportional to 43,351.96, 65,021.30 and 13,765.96 is: 20,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,351.96 : 65,021.30 = 13,765.96 : x
  2. Step 2: Convert to fraction form
    43,351.96/65,021.30 = 13,765.96/x
  3. Step 3: Cross multiply
    43,351.96x = 65,021.30 × 13,765.96
  4. Step 4: Simplify right side
    43,351.96x = 895,080,614.95
  5. Step 5: Solve for x
    x = 895,080,614.95/43,351.96
  6. Step 6: Final answer
    x = 20,646.83

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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.