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Finding the Fourth Proportional to 208,604.31, 287,891.76 and 117,976.38

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Solution

The fourth proportional to 208,604.31, 287,891.76 and 117,976.38 is: 162,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,604.31 : 287,891.76 = 117,976.38 : x
  2. Step 2: Convert to fraction form
    208,604.31/287,891.76 = 117,976.38/x
  3. Step 3: Cross multiply
    208,604.31x = 287,891.76 × 117,976.38
  4. Step 4: Simplify right side
    208,604.31x = 33,964,427,676.63
  5. Step 5: Solve for x
    x = 33,964,427,676.63/208,604.31
  6. Step 6: Final answer
    x = 162,817.48

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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.