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Finding the Fourth Proportional to 140,845, 194,366.10 and 81,229

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Solution

The fourth proportional to 140,845, 194,366.10 and 81,229 is: 112,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,845 : 194,366.10 = 81,229 : x
  2. Step 2: Convert to fraction form
    140,845/194,366.10 = 81,229/x
  3. Step 3: Cross multiply
    140,845x = 194,366.10 × 81,229
  4. Step 4: Simplify right side
    140,845x = 15,788,163,936.90
  5. Step 5: Solve for x
    x = 15,788,163,936.90/140,845
  6. Step 6: Final answer
    x = 112,096.02

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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.