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Finding the Fourth Proportional to 275,753.45, 413,630.50 and 86,214.81

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Solution

The fourth proportional to 275,753.45, 413,630.50 and 86,214.81 is: 129,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,753.45 : 413,630.50 = 86,214.81 : x
  2. Step 2: Convert to fraction form
    275,753.45/413,630.50 = 86,214.81/x
  3. Step 3: Cross multiply
    275,753.45x = 413,630.50 × 86,214.81
  4. Step 4: Simplify right side
    275,753.45x = 35,661,073,610.32
  5. Step 5: Solve for x
    x = 35,661,073,610.32/275,753.45
  6. Step 6: Final answer
    x = 129,322.31

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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.