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Finding the Fourth Proportional to 64,508.21, 96,758.89 and 20,129.88

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Solution

The fourth proportional to 64,508.21, 96,758.89 and 20,129.88 is: 30,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508.21 : 96,758.89 = 20,129.88 : x
  2. Step 2: Convert to fraction form
    64,508.21/96,758.89 = 20,129.88/x
  3. Step 3: Cross multiply
    64,508.21x = 96,758.89 × 20,129.88
  4. Step 4: Simplify right side
    64,508.21x = 1,947,744,844.63
  5. Step 5: Solve for x
    x = 1,947,744,844.63/64,508.21
  6. Step 6: Final answer
    x = 30,193.75

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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.