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Finding the Fourth Proportional to 71,841.44, 99,137.30 and 39,569.78

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Solution

The fourth proportional to 71,841.44, 99,137.30 and 39,569.78 is: 54,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,841.44 : 99,137.30 = 39,569.78 : x
  2. Step 2: Convert to fraction form
    71,841.44/99,137.30 = 39,569.78/x
  3. Step 3: Cross multiply
    71,841.44x = 99,137.30 × 39,569.78
  4. Step 4: Simplify right side
    71,841.44x = 3,922,841,200.79
  5. Step 5: Solve for x
    x = 3,922,841,200.79/71,841.44
  6. Step 6: Final answer
    x = 54,604.15

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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.