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Finding the Fourth Proportional to 65,169.52, 97,764.82 and 20,180.30

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Solution

The fourth proportional to 65,169.52, 97,764.82 and 20,180.30 is: 30,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.52 : 97,764.82 = 20,180.30 : x
  2. Step 2: Convert to fraction form
    65,169.52/97,764.82 = 20,180.30/x
  3. Step 3: Cross multiply
    65,169.52x = 97,764.82 × 20,180.30
  4. Step 4: Simplify right side
    65,169.52x = 1,972,923,300.07
  5. Step 5: Solve for x
    x = 1,972,923,300.07/65,169.52
  6. Step 6: Final answer
    x = 30,273.71

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1.5x scale

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.