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Finding the Fourth Proportional to 140,614.60, 194,051.50 and 80,191.02

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Solution

The fourth proportional to 140,614.60, 194,051.50 and 80,191.02 is: 110,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,614.60 : 194,051.50 = 80,191.02 : x
  2. Step 2: Convert to fraction form
    140,614.60/194,051.50 = 80,191.02/x
  3. Step 3: Cross multiply
    140,614.60x = 194,051.50 × 80,191.02
  4. Step 4: Simplify right side
    140,614.60x = 15,561,187,717.53
  5. Step 5: Solve for x
    x = 15,561,187,717.53/140,614.60
  6. Step 6: Final answer
    x = 110,665.52

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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.