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Finding the Fourth Proportional to 80,187.52, 120,201.90 and 37,993

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Solution

The fourth proportional to 80,187.52, 120,201.90 and 37,993 is: 56,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,187.52 : 120,201.90 = 37,993 : x
  2. Step 2: Convert to fraction form
    80,187.52/120,201.90 = 37,993/x
  3. Step 3: Cross multiply
    80,187.52x = 120,201.90 × 37,993
  4. Step 4: Simplify right side
    80,187.52x = 4,566,830,786.70
  5. Step 5: Solve for x
    x = 4,566,830,786.70/80,187.52
  6. Step 6: Final answer
    x = 56,951.89

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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.