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Finding the Fourth Proportional to 140,849, 194,323.36 and 80,376

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Solution

The fourth proportional to 140,849, 194,323.36 and 80,376 is: 110,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,849 : 194,323.36 = 80,376 : x
  2. Step 2: Convert to fraction form
    140,849/194,323.36 = 80,376/x
  3. Step 3: Cross multiply
    140,849x = 194,323.36 × 80,376
  4. Step 4: Simplify right side
    140,849x = 15,618,934,383.36
  5. Step 5: Solve for x
    x = 15,618,934,383.36/140,849
  6. Step 6: Final answer
    x = 110,891.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.