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Finding the Fourth Proportional to 70,093.20, 105,073.90 and 34,540.80

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Solution

The fourth proportional to 70,093.20, 105,073.90 and 34,540.80 is: 51,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,093.20 : 105,073.90 = 34,540.80 : x
  2. Step 2: Convert to fraction form
    70,093.20/105,073.90 = 34,540.80/x
  3. Step 3: Cross multiply
    70,093.20x = 105,073.90 × 34,540.80
  4. Step 4: Simplify right side
    70,093.20x = 3,629,336,565.12
  5. Step 5: Solve for x
    x = 3,629,336,565.12/70,093.20
  6. Step 6: Final answer
    x = 51,778.73

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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.