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Finding the Fourth Proportional to 213,167.87, 319,591.86 and 128,910.77

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Solution

The fourth proportional to 213,167.87, 319,591.86 and 128,910.77 is: 193,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,167.87 : 319,591.86 = 128,910.77 : x
  2. Step 2: Convert to fraction form
    213,167.87/319,591.86 = 128,910.77/x
  3. Step 3: Cross multiply
    213,167.87x = 319,591.86 × 128,910.77
  4. Step 4: Simplify right side
    213,167.87x = 41,198,834,398.25
  5. Step 5: Solve for x
    x = 41,198,834,398.25/213,167.87
  6. Step 6: Final answer
    x = 193,269.44

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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.