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Finding the Fourth Proportional to 140,999.68, 194,579.04 and 87,274

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Solution

The fourth proportional to 140,999.68, 194,579.04 and 87,274 is: 120,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,999.68 : 194,579.04 = 87,274 : x
  2. Step 2: Convert to fraction form
    140,999.68/194,579.04 = 87,274/x
  3. Step 3: Cross multiply
    140,999.68x = 194,579.04 × 87,274
  4. Step 4: Simplify right side
    140,999.68x = 16,981,691,136.96
  5. Step 5: Solve for x
    x = 16,981,691,136.96/140,999.68
  6. Step 6: Final answer
    x = 120,437.80

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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.