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Finding the Fourth Proportional to 53,857, 80,785.50 and 16,921

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Solution

The fourth proportional to 53,857, 80,785.50 and 16,921 is: 25,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857 : 80,785.50 = 16,921 : x
  2. Step 2: Convert to fraction form
    53,857/80,785.50 = 16,921/x
  3. Step 3: Cross multiply
    53,857x = 80,785.50 × 16,921
  4. Step 4: Simplify right side
    53,857x = 1,366,971,445.50
  5. Step 5: Solve for x
    x = 1,366,971,445.50/53,857
  6. Step 6: Final answer
    x = 25,381.50

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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.