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Finding the Fourth Proportional to 64,451.76, 96,673.74 and 38,322.78

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Solution

The fourth proportional to 64,451.76, 96,673.74 and 38,322.78 is: 57,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,451.76 : 96,673.74 = 38,322.78 : x
  2. Step 2: Convert to fraction form
    64,451.76/96,673.74 = 38,322.78/x
  3. Step 3: Cross multiply
    64,451.76x = 96,673.74 × 38,322.78
  4. Step 4: Simplify right side
    64,451.76x = 3,704,806,469.80
  5. Step 5: Solve for x
    x = 3,704,806,469.80/64,451.76
  6. Step 6: Final answer
    x = 57,481.85

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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.