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Finding the Fourth Proportional to 72,633.78, 108,983.54 and 37,076.75

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Solution

The fourth proportional to 72,633.78, 108,983.54 and 37,076.75 is: 55,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,633.78 : 108,983.54 = 37,076.75 : x
  2. Step 2: Convert to fraction form
    72,633.78/108,983.54 = 37,076.75/x
  3. Step 3: Cross multiply
    72,633.78x = 108,983.54 × 37,076.75
  4. Step 4: Simplify right side
    72,633.78x = 4,040,755,466.70
  5. Step 5: Solve for x
    x = 4,040,755,466.70/72,633.78
  6. Step 6: Final answer
    x = 55,631.90

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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.