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Finding the Fourth Proportional to 81,961.70, 122,900.26 and 37,550.40

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Solution

The fourth proportional to 81,961.70, 122,900.26 and 37,550.40 is: 56,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,961.70 : 122,900.26 = 37,550.40 : x
  2. Step 2: Convert to fraction form
    81,961.70/122,900.26 = 37,550.40/x
  3. Step 3: Cross multiply
    81,961.70x = 122,900.26 × 37,550.40
  4. Step 4: Simplify right side
    81,961.70x = 4,614,953,923.10
  5. Step 5: Solve for x
    x = 4,614,953,923.10/81,961.70
  6. Step 6: Final answer
    x = 56,306.23

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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.