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Finding the Fourth Proportional to 67,319.12, 100,976.31 and 31,767.46

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Solution

The fourth proportional to 67,319.12, 100,976.31 and 31,767.46 is: 47,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,319.12 : 100,976.31 = 31,767.46 : x
  2. Step 2: Convert to fraction form
    67,319.12/100,976.31 = 31,767.46/x
  3. Step 3: Cross multiply
    67,319.12x = 100,976.31 × 31,767.46
  4. Step 4: Simplify right side
    67,319.12x = 3,207,760,636.43
  5. Step 5: Solve for x
    x = 3,207,760,636.43/67,319.12
  6. Step 6: Final answer
    x = 47,650.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.