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Finding the Fourth Proportional to 43,449, 65,176.26 and 12,286.68

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Solution

The fourth proportional to 43,449, 65,176.26 and 12,286.68 is: 18,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,449 : 65,176.26 = 12,286.68 : x
  2. Step 2: Convert to fraction form
    43,449/65,176.26 = 12,286.68/x
  3. Step 3: Cross multiply
    43,449x = 65,176.26 × 12,286.68
  4. Step 4: Simplify right side
    43,449x = 800,799,850.22
  5. Step 5: Solve for x
    x = 800,799,850.22/43,449
  6. Step 6: Final answer
    x = 18,430.80

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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.