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Finding the Fourth Proportional to 66,861.75, 100,297.49 and 25,308.75

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Solution

The fourth proportional to 66,861.75, 100,297.49 and 25,308.75 is: 37,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,861.75 : 100,297.49 = 25,308.75 : x
  2. Step 2: Convert to fraction form
    66,861.75/100,297.49 = 25,308.75/x
  3. Step 3: Cross multiply
    66,861.75x = 100,297.49 × 25,308.75
  4. Step 4: Simplify right side
    66,861.75x = 2,538,403,973.49
  5. Step 5: Solve for x
    x = 2,538,403,973.49/66,861.75
  6. Step 6: Final answer
    x = 37,964.96

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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.