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Finding the Fourth Proportional to 53,801, 80,714.46 and 16,865

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Solution

The fourth proportional to 53,801, 80,714.46 and 16,865 is: 25,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,801 : 80,714.46 = 16,865 : x
  2. Step 2: Convert to fraction form
    53,801/80,714.46 = 16,865/x
  3. Step 3: Cross multiply
    53,801x = 80,714.46 × 16,865
  4. Step 4: Simplify right side
    53,801x = 1,361,249,367.90
  5. Step 5: Solve for x
    x = 1,361,249,367.90/53,801
  6. Step 6: Final answer
    x = 25,301.56

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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.