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Finding the Fourth Proportional to 64,243.91, 96,380.22 and 30,991.88

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Solution

The fourth proportional to 64,243.91, 96,380.22 and 30,991.88 is: 46,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,243.91 : 96,380.22 = 30,991.88 : x
  2. Step 2: Convert to fraction form
    64,243.91/96,380.22 = 30,991.88/x
  3. Step 3: Cross multiply
    64,243.91x = 96,380.22 × 30,991.88
  4. Step 4: Simplify right side
    64,243.91x = 2,987,004,212.61
  5. Step 5: Solve for x
    x = 2,987,004,212.61/64,243.91
  6. Step 6: Final answer
    x = 46,494.74

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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.