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Finding the Fourth Proportional to 65,198.43, 97,816.20 and 20,828.64

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Solution

The fourth proportional to 65,198.43, 97,816.20 and 20,828.64 is: 31,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.43 : 97,816.20 = 20,828.64 : x
  2. Step 2: Convert to fraction form
    65,198.43/97,816.20 = 20,828.64/x
  3. Step 3: Cross multiply
    65,198.43x = 97,816.20 × 20,828.64
  4. Step 4: Simplify right side
    65,198.43x = 2,037,378,415.97
  5. Step 5: Solve for x
    x = 2,037,378,415.97/65,198.43
  6. Step 6: Final answer
    x = 31,248.89

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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.