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Finding the Fourth Proportional to 81,961.97, 122,900.65 and 37,550.66

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Solution

The fourth proportional to 81,961.97, 122,900.65 and 37,550.66 is: 56,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,961.97 : 122,900.65 = 37,550.66 : x
  2. Step 2: Convert to fraction form
    81,961.97/122,900.65 = 37,550.66/x
  3. Step 3: Cross multiply
    81,961.97x = 122,900.65 × 37,550.66
  4. Step 4: Simplify right side
    81,961.97x = 4,614,999,813.55
  5. Step 5: Solve for x
    x = 4,614,999,813.55/81,961.97
  6. Step 6: Final answer
    x = 56,306.60

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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.