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Finding the Fourth Proportional to 64,578.64, 96,868.68 and 20,203.60

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Solution

The fourth proportional to 64,578.64, 96,868.68 and 20,203.60 is: 30,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,578.64 : 96,868.68 = 20,203.60 : x
  2. Step 2: Convert to fraction form
    64,578.64/96,868.68 = 20,203.60/x
  3. Step 3: Cross multiply
    64,578.64x = 96,868.68 × 20,203.60
  4. Step 4: Simplify right side
    64,578.64x = 1,957,096,063.25
  5. Step 5: Solve for x
    x = 1,957,096,063.25/64,578.64
  6. Step 6: Final answer
    x = 30,305.63

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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.