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Finding the Fourth Proportional to 81,900.86, 122,811.80 and 28,591.52

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Solution

The fourth proportional to 81,900.86, 122,811.80 and 28,591.52 is: 42,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,900.86 : 122,811.80 = 28,591.52 : x
  2. Step 2: Convert to fraction form
    81,900.86/122,811.80 = 28,591.52/x
  3. Step 3: Cross multiply
    81,900.86x = 122,811.80 × 28,591.52
  4. Step 4: Simplify right side
    81,900.86x = 3,511,375,278.92
  5. Step 5: Solve for x
    x = 3,511,375,278.92/81,900.86
  6. Step 6: Final answer
    x = 42,873.49

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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.