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Finding the Fourth Proportional to 77,811.60, 107,378.60 and 43,819.95

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Solution

The fourth proportional to 77,811.60, 107,378.60 and 43,819.95 is: 60,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,811.60 : 107,378.60 = 43,819.95 : x
  2. Step 2: Convert to fraction form
    77,811.60/107,378.60 = 43,819.95/x
  3. Step 3: Cross multiply
    77,811.60x = 107,378.60 × 43,819.95
  4. Step 4: Simplify right side
    77,811.60x = 4,705,324,663.97
  5. Step 5: Solve for x
    x = 4,705,324,663.97/77,811.60
  6. Step 6: Final answer
    x = 60,470.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.