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Finding the Fourth Proportional to 100,841.93, 139,204.89 and 71,789.03

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Solution

The fourth proportional to 100,841.93, 139,204.89 and 71,789.03 is: 99,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,841.93 : 139,204.89 = 71,789.03 : x
  2. Step 2: Convert to fraction form
    100,841.93/139,204.89 = 71,789.03/x
  3. Step 3: Cross multiply
    100,841.93x = 139,204.89 × 71,789.03
  4. Step 4: Simplify right side
    100,841.93x = 9,993,383,328.33
  5. Step 5: Solve for x
    x = 9,993,383,328.33/100,841.93
  6. Step 6: Final answer
    x = 99,099.49

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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.