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Finding the Fourth Proportional to 71,956.22, 107,958.23 and 31,969.64

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Solution

The fourth proportional to 71,956.22, 107,958.23 and 31,969.64 is: 47,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,956.22 : 107,958.23 = 31,969.64 : x
  2. Step 2: Convert to fraction form
    71,956.22/107,958.23 = 31,969.64/x
  3. Step 3: Cross multiply
    71,956.22x = 107,958.23 × 31,969.64
  4. Step 4: Simplify right side
    71,956.22x = 3,451,385,048.50
  5. Step 5: Solve for x
    x = 3,451,385,048.50/71,956.22
  6. Step 6: Final answer
    x = 47,965.07

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1.5x scale

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.