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Finding the Fourth Proportional to 65,986.55, 98,998.25 and 21,644.49

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Solution

The fourth proportional to 65,986.55, 98,998.25 and 21,644.49 is: 32,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,986.55 : 98,998.25 = 21,644.49 : x
  2. Step 2: Convert to fraction form
    65,986.55/98,998.25 = 21,644.49/x
  3. Step 3: Cross multiply
    65,986.55x = 98,998.25 × 21,644.49
  4. Step 4: Simplify right side
    65,986.55x = 2,142,766,523.92
  5. Step 5: Solve for x
    x = 2,142,766,523.92/65,986.55
  6. Step 6: Final answer
    x = 32,472.78

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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.