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Finding the Fourth Proportional to 273,660.80, 410,450.16 and 86,648

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Solution

The fourth proportional to 273,660.80, 410,450.16 and 86,648 is: 129,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,660.80 : 410,450.16 = 86,648 : x
  2. Step 2: Convert to fraction form
    273,660.80/410,450.16 = 86,648/x
  3. Step 3: Cross multiply
    273,660.80x = 410,450.16 × 86,648
  4. Step 4: Simplify right side
    273,660.80x = 35,564,685,463.68
  5. Step 5: Solve for x
    x = 35,564,685,463.68/273,660.80
  6. Step 6: Final answer
    x = 129,959.01

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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.