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Finding the Fourth Proportional to 208,578.26, 287,843.67 and 117,947.79

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Solution

The fourth proportional to 208,578.26, 287,843.67 and 117,947.79 is: 162,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,578.26 : 287,843.67 = 117,947.79 : x
  2. Step 2: Convert to fraction form
    208,578.26/287,843.67 = 117,947.79/x
  3. Step 3: Cross multiply
    208,578.26x = 287,843.67 × 117,947.79
  4. Step 4: Simplify right side
    208,578.26x = 33,950,523,732.51
  5. Step 5: Solve for x
    x = 33,950,523,732.51/208,578.26
  6. Step 6: Final answer
    x = 162,771.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.