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Finding the Fourth Proportional to 80,954.60, 121,431.90 and 31,706.60

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Solution

The fourth proportional to 80,954.60, 121,431.90 and 31,706.60 is: 47,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,954.60 : 121,431.90 = 31,706.60 : x
  2. Step 2: Convert to fraction form
    80,954.60/121,431.90 = 31,706.60/x
  3. Step 3: Cross multiply
    80,954.60x = 121,431.90 × 31,706.60
  4. Step 4: Simplify right side
    80,954.60x = 3,850,192,680.54
  5. Step 5: Solve for x
    x = 3,850,192,680.54/80,954.60
  6. Step 6: Final answer
    x = 47,559.90

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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.