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Finding the Fourth Proportional to 441,181, 661,771.50 and 108,757

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Solution

The fourth proportional to 441,181, 661,771.50 and 108,757 is: 163,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,181 : 661,771.50 = 108,757 : x
  2. Step 2: Convert to fraction form
    441,181/661,771.50 = 108,757/x
  3. Step 3: Cross multiply
    441,181x = 661,771.50 × 108,757
  4. Step 4: Simplify right side
    441,181x = 71,972,283,025.50
  5. Step 5: Solve for x
    x = 71,972,283,025.50/441,181
  6. Step 6: Final answer
    x = 163,135.50

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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.