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Finding the Fourth Proportional to 43,469.12, 65,207.16 and 13,891.16

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Solution

The fourth proportional to 43,469.12, 65,207.16 and 13,891.16 is: 20,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,469.12 : 65,207.16 = 13,891.16 : x
  2. Step 2: Convert to fraction form
    43,469.12/65,207.16 = 13,891.16/x
  3. Step 3: Cross multiply
    43,469.12x = 65,207.16 × 13,891.16
  4. Step 4: Simplify right side
    43,469.12x = 905,803,092.71
  5. Step 5: Solve for x
    x = 905,803,092.71/43,469.12
  6. Step 6: Final answer
    x = 20,837.85

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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.