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Finding the Fourth Proportional to 68,784.15, 103,185.41 and 27,221.43

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Solution

The fourth proportional to 68,784.15, 103,185.41 and 27,221.43 is: 40,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,784.15 : 103,185.41 = 27,221.43 : x
  2. Step 2: Convert to fraction form
    68,784.15/103,185.41 = 27,221.43/x
  3. Step 3: Cross multiply
    68,784.15x = 103,185.41 × 27,221.43
  4. Step 4: Simplify right side
    68,784.15x = 2,808,854,279.23
  5. Step 5: Solve for x
    x = 2,808,854,279.23/68,784.15
  6. Step 6: Final answer
    x = 40,835.78

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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.