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Finding the Fourth Proportional to 71,709.45, 98,949.44 and 39,872.22

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Solution

The fourth proportional to 71,709.45, 98,949.44 and 39,872.22 is: 55,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709.45 : 98,949.44 = 39,872.22 : x
  2. Step 2: Convert to fraction form
    71,709.45/98,949.44 = 39,872.22/x
  3. Step 3: Cross multiply
    71,709.45x = 98,949.44 × 39,872.22
  4. Step 4: Simplify right side
    71,709.45x = 3,945,333,940.24
  5. Step 5: Solve for x
    x = 3,945,333,940.24/71,709.45
  6. Step 6: Final answer
    x = 55,018.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.