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Finding the Fourth Proportional to 307,781.90, 461,649.79 and 108,104.04

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Solution

The fourth proportional to 307,781.90, 461,649.79 and 108,104.04 is: 162,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,781.90 : 461,649.79 = 108,104.04 : x
  2. Step 2: Convert to fraction form
    307,781.90/461,649.79 = 108,104.04/x
  3. Step 3: Cross multiply
    307,781.90x = 461,649.79 × 108,104.04
  4. Step 4: Simplify right side
    307,781.90x = 49,906,207,364.15
  5. Step 5: Solve for x
    x = 49,906,207,364.15/307,781.90
  6. Step 6: Final answer
    x = 162,147.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.