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Finding the Fourth Proportional to 100,843.43, 139,206.96 and 71,790.53

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Solution

The fourth proportional to 100,843.43, 139,206.96 and 71,790.53 is: 99,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,843.43 : 139,206.96 = 71,790.53 : x
  2. Step 2: Convert to fraction form
    100,843.43/139,206.96 = 71,790.53/x
  3. Step 3: Cross multiply
    100,843.43x = 139,206.96 × 71,790.53
  4. Step 4: Simplify right side
    100,843.43x = 9,993,740,742.05
  5. Step 5: Solve for x
    x = 9,993,740,742.05/100,843.43
  6. Step 6: Final answer
    x = 99,101.56

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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.