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Finding the Fourth Proportional to 140,604.84, 194,034.69 and 76,942.64

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Solution

The fourth proportional to 140,604.84, 194,034.69 and 76,942.64 is: 106,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,604.84 : 194,034.69 = 76,942.64 : x
  2. Step 2: Convert to fraction form
    140,604.84/194,034.69 = 76,942.64/x
  3. Step 3: Cross multiply
    140,604.84x = 194,034.69 × 76,942.64
  4. Step 4: Simplify right side
    140,604.84x = 14,929,541,300.18
  5. Step 5: Solve for x
    x = 14,929,541,300.18/140,604.84
  6. Step 6: Final answer
    x = 106,180.85

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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.