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Finding the Fourth Proportional to 71,821.71, 99,112.23 and 39,989.97

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Solution

The fourth proportional to 71,821.71, 99,112.23 and 39,989.97 is: 55,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821.71 : 99,112.23 = 39,989.97 : x
  2. Step 2: Convert to fraction form
    71,821.71/99,112.23 = 39,989.97/x
  3. Step 3: Cross multiply
    71,821.71x = 99,112.23 × 39,989.97
  4. Step 4: Simplify right side
    71,821.71x = 3,963,495,104.33
  5. Step 5: Solve for x
    x = 3,963,495,104.33/71,821.71
  6. Step 6: Final answer
    x = 55,185.20

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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.