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Finding the Fourth Proportional to 80,360, 120,540 and 31,112

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Solution

The fourth proportional to 80,360, 120,540 and 31,112 is: 46,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360 : 120,540 = 31,112 : x
  2. Step 2: Convert to fraction form
    80,360/120,540 = 31,112/x
  3. Step 3: Cross multiply
    80,360x = 120,540 × 31,112
  4. Step 4: Simplify right side
    80,360x = 3,750,240,480
  5. Step 5: Solve for x
    x = 3,750,240,480/80,360
  6. Step 6: Final answer
    x = 46,668

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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.