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Finding the Fourth Proportional to 71,777.60, 107,620.32 and 30,213.44

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Solution

The fourth proportional to 71,777.60, 107,620.32 and 30,213.44 is: 45,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777.60 : 107,620.32 = 30,213.44 : x
  2. Step 2: Convert to fraction form
    71,777.60/107,620.32 = 30,213.44/x
  3. Step 3: Cross multiply
    71,777.60x = 107,620.32 × 30,213.44
  4. Step 4: Simplify right side
    71,777.60x = 3,251,580,081.10
  5. Step 5: Solve for x
    x = 3,251,580,081.10/71,777.60
  6. Step 6: Final answer
    x = 45,300.76

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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.