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Finding the Fourth Proportional to 71,821.09, 99,112.14 and 39,989.99

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Solution

The fourth proportional to 71,821.09, 99,112.14 and 39,989.99 is: 55,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821.09 : 99,112.14 = 39,989.99 : x
  2. Step 2: Convert to fraction form
    71,821.09/99,112.14 = 39,989.99/x
  3. Step 3: Cross multiply
    71,821.09x = 99,112.14 × 39,989.99
  4. Step 4: Simplify right side
    71,821.09x = 3,963,493,764.59
  5. Step 5: Solve for x
    x = 3,963,493,764.59/71,821.09
  6. Step 6: Final answer
    x = 55,185.65

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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.