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Finding the Fourth Proportional to 71,182.75, 106,838.52 and 37,930.90

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Solution

The fourth proportional to 71,182.75, 106,838.52 and 37,930.90 is: 56,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,182.75 : 106,838.52 = 37,930.90 : x
  2. Step 2: Convert to fraction form
    71,182.75/106,838.52 = 37,930.90/x
  3. Step 3: Cross multiply
    71,182.75x = 106,838.52 × 37,930.90
  4. Step 4: Simplify right side
    71,182.75x = 4,052,481,218.27
  5. Step 5: Solve for x
    x = 4,052,481,218.27/71,182.75
  6. Step 6: Final answer
    x = 56,930.66

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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.