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Finding the Fourth Proportional to 80,071, 120,084.90 and 30,147.64

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Solution

The fourth proportional to 80,071, 120,084.90 and 30,147.64 is: 45,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,071 : 120,084.90 = 30,147.64 : x
  2. Step 2: Convert to fraction form
    80,071/120,084.90 = 30,147.64/x
  3. Step 3: Cross multiply
    80,071x = 120,084.90 × 30,147.64
  4. Step 4: Simplify right side
    80,071x = 3,620,276,334.64
  5. Step 5: Solve for x
    x = 3,620,276,334.64/80,071
  6. Step 6: Final answer
    x = 45,213.33

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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.