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Finding the Fourth Proportional to 66,747.68, 100,132.60 and 31,668.20

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Solution

The fourth proportional to 66,747.68, 100,132.60 and 31,668.20 is: 47,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,747.68 : 100,132.60 = 31,668.20 : x
  2. Step 2: Convert to fraction form
    66,747.68/100,132.60 = 31,668.20/x
  3. Step 3: Cross multiply
    66,747.68x = 100,132.60 × 31,668.20
  4. Step 4: Simplify right side
    66,747.68x = 3,171,019,203.32
  5. Step 5: Solve for x
    x = 3,171,019,203.32/66,747.68
  6. Step 6: Final answer
    x = 47,507.56

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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.