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Finding the Fourth Proportional to 80,434, 120,651 and 31,186

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Solution

The fourth proportional to 80,434, 120,651 and 31,186 is: 46,779

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,434 : 120,651 = 31,186 : x
  2. Step 2: Convert to fraction form
    80,434/120,651 = 31,186/x
  3. Step 3: Cross multiply
    80,434x = 120,651 × 31,186
  4. Step 4: Simplify right side
    80,434x = 3,762,622,086
  5. Step 5: Solve for x
    x = 3,762,622,086/80,434
  6. Step 6: Final answer
    x = 46,779

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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.