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Finding the Fourth Proportional to 66,493.26, 91,764.21 and 38,200.77

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Solution

The fourth proportional to 66,493.26, 91,764.21 and 38,200.77 is: 52,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,493.26 : 91,764.21 = 38,200.77 : x
  2. Step 2: Convert to fraction form
    66,493.26/91,764.21 = 38,200.77/x
  3. Step 3: Cross multiply
    66,493.26x = 91,764.21 × 38,200.77
  4. Step 4: Simplify right side
    66,493.26x = 3,505,463,480.44
  5. Step 5: Solve for x
    x = 3,505,463,480.44/66,493.26
  6. Step 6: Final answer
    x = 52,719.08

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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.