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Finding the Fourth Proportional to 275,481.20, 413,148.90 and 85,941.20

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Solution

The fourth proportional to 275,481.20, 413,148.90 and 85,941.20 is: 128,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,481.20 : 413,148.90 = 85,941.20 : x
  2. Step 2: Convert to fraction form
    275,481.20/413,148.90 = 85,941.20/x
  3. Step 3: Cross multiply
    275,481.20x = 413,148.90 × 85,941.20
  4. Step 4: Simplify right side
    275,481.20x = 35,506,512,244.68
  5. Step 5: Solve for x
    x = 35,506,512,244.68/275,481.20
  6. Step 6: Final answer
    x = 128,889.06

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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.