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Finding the Fourth Proportional to 81,162.41, 121,770.95 and 51,141.78

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Solution

The fourth proportional to 81,162.41, 121,770.95 and 51,141.78 is: 76,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,162.41 : 121,770.95 = 51,141.78 : x
  2. Step 2: Convert to fraction form
    81,162.41/121,770.95 = 51,141.78/x
  3. Step 3: Cross multiply
    81,162.41x = 121,770.95 × 51,141.78
  4. Step 4: Simplify right side
    81,162.41x = 6,227,582,879.58
  5. Step 5: Solve for x
    x = 6,227,582,879.58/81,162.41
  6. Step 6: Final answer
    x = 76,729.90

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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.