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Finding the Fourth Proportional to 168,974.67, 233,169.21 and 100,978.11

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Solution

The fourth proportional to 168,974.67, 233,169.21 and 100,978.11 is: 139,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,974.67 : 233,169.21 = 100,978.11 : x
  2. Step 2: Convert to fraction form
    168,974.67/233,169.21 = 100,978.11/x
  3. Step 3: Cross multiply
    168,974.67x = 233,169.21 × 100,978.11
  4. Step 4: Simplify right side
    168,974.67x = 23,544,986,135.99
  5. Step 5: Solve for x
    x = 23,544,986,135.99/168,974.67
  6. Step 6: Final answer
    x = 139,340.33

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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.