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Finding the Fourth Proportional to 65,169.76, 97,760.34 and 18,422.65

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Solution

The fourth proportional to 65,169.76, 97,760.34 and 18,422.65 is: 27,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.76 : 97,760.34 = 18,422.65 : x
  2. Step 2: Convert to fraction form
    65,169.76/97,760.34 = 18,422.65/x
  3. Step 3: Cross multiply
    65,169.76x = 97,760.34 × 18,422.65
  4. Step 4: Simplify right side
    65,169.76x = 1,801,004,527.70
  5. Step 5: Solve for x
    x = 1,801,004,527.70/65,169.76
  6. Step 6: Final answer
    x = 27,635.59

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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.