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Finding the Fourth Proportional to 71,674.89, 98,908.94 and 39,843.11

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Solution

The fourth proportional to 71,674.89, 98,908.94 and 39,843.11 is: 54,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.89 : 98,908.94 = 39,843.11 : x
  2. Step 2: Convert to fraction form
    71,674.89/98,908.94 = 39,843.11/x
  3. Step 3: Cross multiply
    71,674.89x = 98,908.94 × 39,843.11
  4. Step 4: Simplify right side
    71,674.89x = 3,940,839,082.64
  5. Step 5: Solve for x
    x = 3,940,839,082.64/71,674.89
  6. Step 6: Final answer
    x = 54,982.14

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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.