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Finding the Fourth Proportional to 71,723.48, 98,982.06 and 39,893

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Solution

The fourth proportional to 71,723.48, 98,982.06 and 39,893 is: 55,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,723.48 : 98,982.06 = 39,893 : x
  2. Step 2: Convert to fraction form
    71,723.48/98,982.06 = 39,893/x
  3. Step 3: Cross multiply
    71,723.48x = 98,982.06 × 39,893
  4. Step 4: Simplify right side
    71,723.48x = 3,948,691,319.58
  5. Step 5: Solve for x
    x = 3,948,691,319.58/71,723.48
  6. Step 6: Final answer
    x = 55,054.37

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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.