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Finding the Fourth Proportional to 208,227.30, 287,353.32 and 112,734

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Solution

The fourth proportional to 208,227.30, 287,353.32 and 112,734 is: 155,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,227.30 : 287,353.32 = 112,734 : x
  2. Step 2: Convert to fraction form
    208,227.30/287,353.32 = 112,734/x
  3. Step 3: Cross multiply
    208,227.30x = 287,353.32 × 112,734
  4. Step 4: Simplify right side
    208,227.30x = 32,394,489,176.88
  5. Step 5: Solve for x
    x = 32,394,489,176.88/208,227.30
  6. Step 6: Final answer
    x = 155,572.73

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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.