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Finding the Fourth Proportional to 67,274.56, 100,788.77 and 31,765.20

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Solution

The fourth proportional to 67,274.56, 100,788.77 and 31,765.20 is: 47,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,274.56 : 100,788.77 = 31,765.20 : x
  2. Step 2: Convert to fraction form
    67,274.56/100,788.77 = 31,765.20/x
  3. Step 3: Cross multiply
    67,274.56x = 100,788.77 × 31,765.20
  4. Step 4: Simplify right side
    67,274.56x = 3,201,575,277.98
  5. Step 5: Solve for x
    x = 3,201,575,277.98/67,274.56
  6. Step 6: Final answer
    x = 47,589.69

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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.