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Finding the Fourth Proportional to 213,093.11, 319,640.14 and 86,644.11

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Solution

The fourth proportional to 213,093.11, 319,640.14 and 86,644.11 is: 129,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,093.11 : 319,640.14 = 86,644.11 : x
  2. Step 2: Convert to fraction form
    213,093.11/319,640.14 = 86,644.11/x
  3. Step 3: Cross multiply
    213,093.11x = 319,640.14 × 86,644.11
  4. Step 4: Simplify right side
    213,093.11x = 27,694,936,757.53
  5. Step 5: Solve for x
    x = 27,694,936,757.53/213,093.11
  6. Step 6: Final answer
    x = 129,966.36

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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.