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Finding the Fourth Proportional to 49,899, 68,860.68 and 27,543

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Solution

The fourth proportional to 49,899, 68,860.68 and 27,543 is: 38,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,899 : 68,860.68 = 27,543 : x
  2. Step 2: Convert to fraction form
    49,899/68,860.68 = 27,543/x
  3. Step 3: Cross multiply
    49,899x = 68,860.68 × 27,543
  4. Step 4: Simplify right side
    49,899x = 1,896,629,709.24
  5. Step 5: Solve for x
    x = 1,896,629,709.24/49,899
  6. Step 6: Final answer
    x = 38,009.37

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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.