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Finding the Fourth Proportional to 57,959.82, 86,978.70 and 20,519.76

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Solution

The fourth proportional to 57,959.82, 86,978.70 and 20,519.76 is: 30,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,959.82 : 86,978.70 = 20,519.76 : x
  2. Step 2: Convert to fraction form
    57,959.82/86,978.70 = 20,519.76/x
  3. Step 3: Cross multiply
    57,959.82x = 86,978.70 × 20,519.76
  4. Step 4: Simplify right side
    57,959.82x = 1,784,782,049.11
  5. Step 5: Solve for x
    x = 1,784,782,049.11/57,959.82
  6. Step 6: Final answer
    x = 30,793.44

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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.