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Finding the Fourth Proportional to 67,709.64, 101,568.78 and 20,964.36

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Solution

The fourth proportional to 67,709.64, 101,568.78 and 20,964.36 is: 31,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,709.64 : 101,568.78 = 20,964.36 : x
  2. Step 2: Convert to fraction form
    67,709.64/101,568.78 = 20,964.36/x
  3. Step 3: Cross multiply
    67,709.64x = 101,568.78 × 20,964.36
  4. Step 4: Simplify right side
    67,709.64x = 2,129,324,468.68
  5. Step 5: Solve for x
    x = 2,129,324,468.68/67,709.64
  6. Step 6: Final answer
    x = 31,447.88

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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.