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Finding the Fourth Proportional to 68,342.70, 102,514.05 and 41,961.90

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Solution

The fourth proportional to 68,342.70, 102,514.05 and 41,961.90 is: 62,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,342.70 : 102,514.05 = 41,961.90 : x
  2. Step 2: Convert to fraction form
    68,342.70/102,514.05 = 41,961.90/x
  3. Step 3: Cross multiply
    68,342.70x = 102,514.05 × 41,961.90
  4. Step 4: Simplify right side
    68,342.70x = 4,301,684,314.70
  5. Step 5: Solve for x
    x = 4,301,684,314.70/68,342.70
  6. Step 6: Final answer
    x = 62,942.85

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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.