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Finding the Fourth Proportional to 66,765.20, 100,167.24 and 31,656.56

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Solution

The fourth proportional to 66,765.20, 100,167.24 and 31,656.56 is: 47,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,765.20 : 100,167.24 = 31,656.56 : x
  2. Step 2: Convert to fraction form
    66,765.20/100,167.24 = 31,656.56/x
  3. Step 3: Cross multiply
    66,765.20x = 100,167.24 × 31,656.56
  4. Step 4: Simplify right side
    66,765.20x = 3,170,950,243.09
  5. Step 5: Solve for x
    x = 3,170,950,243.09/66,765.20
  6. Step 6: Final answer
    x = 47,494.06

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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.