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Finding the Fourth Proportional to 208,691.80, 312,963.36 and 75,537.52

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Solution

The fourth proportional to 208,691.80, 312,963.36 and 75,537.52 is: 113,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,691.80 : 312,963.36 = 75,537.52 : x
  2. Step 2: Convert to fraction form
    208,691.80/312,963.36 = 75,537.52/x
  3. Step 3: Cross multiply
    208,691.80x = 312,963.36 × 75,537.52
  4. Step 4: Simplify right side
    208,691.80x = 23,640,476,065.27
  5. Step 5: Solve for x
    x = 23,640,476,065.27/208,691.80
  6. Step 6: Final answer
    x = 113,279.37

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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.