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Finding the Fourth Proportional to 71,780.49, 99,056.09 and 39,949.39

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Solution

The fourth proportional to 71,780.49, 99,056.09 and 39,949.39 is: 55,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,780.49 : 99,056.09 = 39,949.39 : x
  2. Step 2: Convert to fraction form
    71,780.49/99,056.09 = 39,949.39/x
  3. Step 3: Cross multiply
    71,780.49x = 99,056.09 × 39,949.39
  4. Step 4: Simplify right side
    71,780.49x = 3,957,230,371.29
  5. Step 5: Solve for x
    x = 3,957,230,371.29/71,780.49
  6. Step 6: Final answer
    x = 55,129.61

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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.