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Finding the Fourth Proportional to 208,578.57, 287,820.70 and 117,921.95

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Solution

The fourth proportional to 208,578.57, 287,820.70 and 117,921.95 is: 162,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,578.57 : 287,820.70 = 117,921.95 : x
  2. Step 2: Convert to fraction form
    208,578.57/287,820.70 = 117,921.95/x
  3. Step 3: Cross multiply
    208,578.57x = 287,820.70 × 117,921.95
  4. Step 4: Simplify right side
    208,578.57x = 33,940,378,194.37
  5. Step 5: Solve for x
    x = 33,940,378,194.37/208,578.57
  6. Step 6: Final answer
    x = 162,722.27

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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.