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Finding the Fourth Proportional to 140,604.66, 194,028.21 and 76,945.14

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Solution

The fourth proportional to 140,604.66, 194,028.21 and 76,945.14 is: 106,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,604.66 : 194,028.21 = 76,945.14 : x
  2. Step 2: Convert to fraction form
    140,604.66/194,028.21 = 76,945.14/x
  3. Step 3: Cross multiply
    140,604.66x = 194,028.21 × 76,945.14
  4. Step 4: Simplify right side
    140,604.66x = 14,929,527,782.40
  5. Step 5: Solve for x
    x = 14,929,527,782.40/140,604.66
  6. Step 6: Final answer
    x = 106,180.89

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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.