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Finding the Fourth Proportional to 70,889.58, 106,349.94 and 20,965.78

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Solution

The fourth proportional to 70,889.58, 106,349.94 and 20,965.78 is: 31,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,889.58 : 106,349.94 = 20,965.78 : x
  2. Step 2: Convert to fraction form
    70,889.58/106,349.94 = 20,965.78/x
  3. Step 3: Cross multiply
    70,889.58x = 106,349.94 × 20,965.78
  4. Step 4: Simplify right side
    70,889.58x = 2,229,709,738.09
  5. Step 5: Solve for x
    x = 2,229,709,738.09/70,889.58
  6. Step 6: Final answer
    x = 31,453.28

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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.