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Finding the Fourth Proportional to 65,871.56, 98,811.76 and 23,171.88

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Solution

The fourth proportional to 65,871.56, 98,811.76 and 23,171.88 is: 34,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,871.56 : 98,811.76 = 23,171.88 : x
  2. Step 2: Convert to fraction form
    65,871.56/98,811.76 = 23,171.88/x
  3. Step 3: Cross multiply
    65,871.56x = 98,811.76 × 23,171.88
  4. Step 4: Simplify right side
    65,871.56x = 2,289,654,245.31
  5. Step 5: Solve for x
    x = 2,289,654,245.31/65,871.56
  6. Step 6: Final answer
    x = 34,759.37

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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.