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Finding the Fourth Proportional to 71,691, 98,924.67 and 39,855.84

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Solution

The fourth proportional to 71,691, 98,924.67 and 39,855.84 is: 54,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691 : 98,924.67 = 39,855.84 : x
  2. Step 2: Convert to fraction form
    71,691/98,924.67 = 39,855.84/x
  3. Step 3: Cross multiply
    71,691x = 98,924.67 × 39,855.84
  4. Step 4: Simplify right side
    71,691x = 3,942,725,819.57
  5. Step 5: Solve for x
    x = 3,942,725,819.57/71,691
  6. Step 6: Final answer
    x = 54,996.11

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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.