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Finding the Fourth Proportional to 41,105.70, 61,658.55 and 21,422.70

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Solution

The fourth proportional to 41,105.70, 61,658.55 and 21,422.70 is: 32,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,105.70 : 61,658.55 = 21,422.70 : x
  2. Step 2: Convert to fraction form
    41,105.70/61,658.55 = 21,422.70/x
  3. Step 3: Cross multiply
    41,105.70x = 61,658.55 × 21,422.70
  4. Step 4: Simplify right side
    41,105.70x = 1,320,892,619.09
  5. Step 5: Solve for x
    x = 1,320,892,619.09/41,105.70
  6. Step 6: Final answer
    x = 32,134.05

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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.