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Finding the Fourth Proportional to 208,691.82, 287,858.52 and 132,131.12

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Solution

The fourth proportional to 208,691.82, 287,858.52 and 132,131.12 is: 182,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,691.82 : 287,858.52 = 132,131.12 : x
  2. Step 2: Convert to fraction form
    208,691.82/287,858.52 = 132,131.12/x
  3. Step 3: Cross multiply
    208,691.82x = 287,858.52 × 132,131.12
  4. Step 4: Simplify right side
    208,691.82x = 38,035,067,209.85
  5. Step 5: Solve for x
    x = 38,035,067,209.85/208,691.82
  6. Step 6: Final answer
    x = 182,254.71

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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.