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Finding the Fourth Proportional to 68,939.14, 103,408.71 and 19,691.14

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Solution

The fourth proportional to 68,939.14, 103,408.71 and 19,691.14 is: 29,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,939.14 : 103,408.71 = 19,691.14 : x
  2. Step 2: Convert to fraction form
    68,939.14/103,408.71 = 19,691.14/x
  3. Step 3: Cross multiply
    68,939.14x = 103,408.71 × 19,691.14
  4. Step 4: Simplify right side
    68,939.14x = 2,036,235,385.83
  5. Step 5: Solve for x
    x = 2,036,235,385.83/68,939.14
  6. Step 6: Final answer
    x = 29,536.71

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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.