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Finding the Fourth Proportional to 71,293, 98,380.96 and 39,027

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Solution

The fourth proportional to 71,293, 98,380.96 and 39,027 is: 53,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,293 : 98,380.96 = 39,027 : x
  2. Step 2: Convert to fraction form
    71,293/98,380.96 = 39,027/x
  3. Step 3: Cross multiply
    71,293x = 98,380.96 × 39,027
  4. Step 4: Simplify right side
    71,293x = 3,839,513,725.92
  5. Step 5: Solve for x
    x = 3,839,513,725.92/71,293
  6. Step 6: Final answer
    x = 53,855.41

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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.