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Finding the Fourth Proportional to 66,489.52, 91,764.07 and 38,200.68

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Solution

The fourth proportional to 66,489.52, 91,764.07 and 38,200.68 is: 52,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,489.52 : 91,764.07 = 38,200.68 : x
  2. Step 2: Convert to fraction form
    66,489.52/91,764.07 = 38,200.68/x
  3. Step 3: Cross multiply
    66,489.52x = 91,764.07 × 38,200.68
  4. Step 4: Simplify right side
    66,489.52x = 3,505,449,873.57
  5. Step 5: Solve for x
    x = 3,505,449,873.57/66,489.52
  6. Step 6: Final answer
    x = 52,721.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.