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Finding the Fourth Proportional to 71,131.37, 106,761.65 and 37,879.65

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Solution

The fourth proportional to 71,131.37, 106,761.65 and 37,879.65 is: 56,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,131.37 : 106,761.65 = 37,879.65 : x
  2. Step 2: Convert to fraction form
    71,131.37/106,761.65 = 37,879.65/x
  3. Step 3: Cross multiply
    71,131.37x = 106,761.65 × 37,879.65
  4. Step 4: Simplify right side
    71,131.37x = 4,044,093,746.02
  5. Step 5: Solve for x
    x = 4,044,093,746.02/71,131.37
  6. Step 6: Final answer
    x = 56,853.88

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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.