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Finding the Fourth Proportional to 201,617.43, 278,229.85 and 110,971.44

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Solution

The fourth proportional to 201,617.43, 278,229.85 and 110,971.44 is: 153,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,617.43 : 278,229.85 = 110,971.44 : x
  2. Step 2: Convert to fraction form
    201,617.43/278,229.85 = 110,971.44/x
  3. Step 3: Cross multiply
    201,617.43x = 278,229.85 × 110,971.44
  4. Step 4: Simplify right side
    201,617.43x = 30,875,567,105.48
  5. Step 5: Solve for x
    x = 30,875,567,105.48/201,617.43
  6. Step 6: Final answer
    x = 153,139.37

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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.