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Finding the Fourth Proportional to 275,634.60, 413,427.60 and 75,937.20

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Solution

The fourth proportional to 275,634.60, 413,427.60 and 75,937.20 is: 113,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,634.60 : 413,427.60 = 75,937.20 : x
  2. Step 2: Convert to fraction form
    275,634.60/413,427.60 = 75,937.20/x
  3. Step 3: Cross multiply
    275,634.60x = 413,427.60 × 75,937.20
  4. Step 4: Simplify right side
    275,634.60x = 31,394,534,346.72
  5. Step 5: Solve for x
    x = 31,394,534,346.72/275,634.60
  6. Step 6: Final answer
    x = 113,899.11

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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.