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Finding the Fourth Proportional to 70,771.56, 106,194.60 and 31,355.88

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Solution

The fourth proportional to 70,771.56, 106,194.60 and 31,355.88 is: 47,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,771.56 : 106,194.60 = 31,355.88 : x
  2. Step 2: Convert to fraction form
    70,771.56/106,194.60 = 31,355.88/x
  3. Step 3: Cross multiply
    70,771.56x = 106,194.60 × 31,355.88
  4. Step 4: Simplify right side
    70,771.56x = 3,329,825,134.25
  5. Step 5: Solve for x
    x = 3,329,825,134.25/70,771.56
  6. Step 6: Final answer
    x = 47,050.33

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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.