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Finding the Fourth Proportional to 275,753.56, 413,630.66 and 86,214.92

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Solution

The fourth proportional to 275,753.56, 413,630.66 and 86,214.92 is: 129,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,753.56 : 413,630.66 = 86,214.92 : x
  2. Step 2: Convert to fraction form
    275,753.56/413,630.66 = 86,214.92/x
  3. Step 3: Cross multiply
    275,753.56x = 413,630.66 × 86,214.92
  4. Step 4: Simplify right side
    275,753.56x = 35,661,133,911.36
  5. Step 5: Solve for x
    x = 35,661,133,911.36/275,753.56
  6. Step 6: Final answer
    x = 129,322.48

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1.5x scale

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.