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Finding the Fourth Proportional to 57,714, 86,519.16 and 20,769.36

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Solution

The fourth proportional to 57,714, 86,519.16 and 20,769.36 is: 31,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714 : 86,519.16 = 20,769.36 : x
  2. Step 2: Convert to fraction form
    57,714/86,519.16 = 20,769.36/x
  3. Step 3: Cross multiply
    57,714x = 86,519.16 × 20,769.36
  4. Step 4: Simplify right side
    57,714x = 1,796,947,580.94
  5. Step 5: Solve for x
    x = 1,796,947,580.94/57,714
  6. Step 6: Final answer
    x = 31,135.38

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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.