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Finding the Fourth Proportional to 73,378.20, 109,848.60 and 43,780.80

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Solution

The fourth proportional to 73,378.20, 109,848.60 and 43,780.80 is: 65,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,378.20 : 109,848.60 = 43,780.80 : x
  2. Step 2: Convert to fraction form
    73,378.20/109,848.60 = 43,780.80/x
  3. Step 3: Cross multiply
    73,378.20x = 109,848.60 × 43,780.80
  4. Step 4: Simplify right side
    73,378.20x = 4,809,259,586.88
  5. Step 5: Solve for x
    x = 4,809,259,586.88/73,378.20
  6. Step 6: Final answer
    x = 65,540.71

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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.