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Finding the Fourth Proportional to 140,651.84, 194,099.60 and 76,990

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Solution

The fourth proportional to 140,651.84, 194,099.60 and 76,990 is: 106,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,651.84 : 194,099.60 = 76,990 : x
  2. Step 2: Convert to fraction form
    140,651.84/194,099.60 = 76,990/x
  3. Step 3: Cross multiply
    140,651.84x = 194,099.60 × 76,990
  4. Step 4: Simplify right side
    140,651.84x = 14,943,728,204
  5. Step 5: Solve for x
    x = 14,943,728,204/140,651.84
  6. Step 6: Final answer
    x = 106,246.23

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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.