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Finding the Fourth Proportional to 275,446.02, 413,023.67 and 85,871.05

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Solution

The fourth proportional to 275,446.02, 413,023.67 and 85,871.05 is: 128,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,446.02 : 413,023.67 = 85,871.05 : x
  2. Step 2: Convert to fraction form
    275,446.02/413,023.67 = 85,871.05/x
  3. Step 3: Cross multiply
    275,446.02x = 413,023.67 × 85,871.05
  4. Step 4: Simplify right side
    275,446.02x = 35,466,777,884.14
  5. Step 5: Solve for x
    x = 35,466,777,884.14/275,446.02
  6. Step 6: Final answer
    x = 128,761.27

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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.