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Finding the Fourth Proportional to 275,754.45, 413,632 and 86,215.81

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Solution

The fourth proportional to 275,754.45, 413,632 and 86,215.81 is: 129,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,754.45 : 413,632 = 86,215.81 : x
  2. Step 2: Convert to fraction form
    275,754.45/413,632 = 86,215.81/x
  3. Step 3: Cross multiply
    275,754.45x = 413,632 × 86,215.81
  4. Step 4: Simplify right side
    275,754.45x = 35,661,617,921.92
  5. Step 5: Solve for x
    x = 35,661,617,921.92/275,754.45
  6. Step 6: Final answer
    x = 129,323.82

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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.