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Finding the Fourth Proportional to 208,404.88, 312,645.72 and 68,171.28

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Solution

The fourth proportional to 208,404.88, 312,645.72 and 68,171.28 is: 102,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,404.88 : 312,645.72 = 68,171.28 : x
  2. Step 2: Convert to fraction form
    208,404.88/312,645.72 = 68,171.28/x
  3. Step 3: Cross multiply
    208,404.88x = 312,645.72 × 68,171.28
  4. Step 4: Simplify right side
    208,404.88x = 21,313,458,918.92
  5. Step 5: Solve for x
    x = 21,313,458,918.92/208,404.88
  6. Step 6: Final answer
    x = 102,269.48

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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.