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Finding the Fourth Proportional to 81,423.56, 122,200.95 and 41,991.95

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Solution

The fourth proportional to 81,423.56, 122,200.95 and 41,991.95 is: 63,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,423.56 : 122,200.95 = 41,991.95 : x
  2. Step 2: Convert to fraction form
    81,423.56/122,200.95 = 41,991.95/x
  3. Step 3: Cross multiply
    81,423.56x = 122,200.95 × 41,991.95
  4. Step 4: Simplify right side
    81,423.56x = 5,131,456,645.32
  5. Step 5: Solve for x
    x = 5,131,456,645.32/81,423.56
  6. Step 6: Final answer
    x = 63,021.77

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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.