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Finding the Fourth Proportional to 208,843.09, 313,300.17 and 82,417.17

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Solution

The fourth proportional to 208,843.09, 313,300.17 and 82,417.17 is: 123,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,843.09 : 313,300.17 = 82,417.17 : x
  2. Step 2: Convert to fraction form
    208,843.09/313,300.17 = 82,417.17/x
  3. Step 3: Cross multiply
    208,843.09x = 313,300.17 × 82,417.17
  4. Step 4: Simplify right side
    208,843.09x = 25,821,314,546.79
  5. Step 5: Solve for x
    x = 25,821,314,546.79/208,843.09
  6. Step 6: Final answer
    x = 123,639.79

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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.