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Finding the Fourth Proportional to 53,797, 80,708.46 and 16,861

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Solution

The fourth proportional to 53,797, 80,708.46 and 16,861 is: 25,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,797 : 80,708.46 = 16,861 : x
  2. Step 2: Convert to fraction form
    53,797/80,708.46 = 16,861/x
  3. Step 3: Cross multiply
    53,797x = 80,708.46 × 16,861
  4. Step 4: Simplify right side
    53,797x = 1,360,825,344.06
  5. Step 5: Solve for x
    x = 1,360,825,344.06/53,797
  6. Step 6: Final answer
    x = 25,295.56

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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.