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Finding the Fourth Proportional to 71,989.49, 99,344.82 and 39,724.41

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Solution

The fourth proportional to 71,989.49, 99,344.82 and 39,724.41 is: 54,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,989.49 : 99,344.82 = 39,724.41 : x
  2. Step 2: Convert to fraction form
    71,989.49/99,344.82 = 39,724.41/x
  3. Step 3: Cross multiply
    71,989.49x = 99,344.82 × 39,724.41
  4. Step 4: Simplify right side
    71,989.49x = 3,946,414,137.48
  5. Step 5: Solve for x
    x = 3,946,414,137.48/71,989.49
  6. Step 6: Final answer
    x = 54,819.31

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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.