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Finding the Fourth Proportional to 61,380, 84,704.49 and 36,229.50

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Solution

The fourth proportional to 61,380, 84,704.49 and 36,229.50 is: 49,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,380 : 84,704.49 = 36,229.50 : x
  2. Step 2: Convert to fraction form
    61,380/84,704.49 = 36,229.50/x
  3. Step 3: Cross multiply
    61,380x = 84,704.49 × 36,229.50
  4. Step 4: Simplify right side
    61,380x = 3,068,801,320.46
  5. Step 5: Solve for x
    x = 3,068,801,320.46/61,380
  6. Step 6: Final answer
    x = 49,996.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.