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Finding the Fourth Proportional to 140,086.14, 193,311 and 79,671.48

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Solution

The fourth proportional to 140,086.14, 193,311 and 79,671.48 is: 109,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,086.14 : 193,311 = 79,671.48 : x
  2. Step 2: Convert to fraction form
    140,086.14/193,311 = 79,671.48/x
  3. Step 3: Cross multiply
    140,086.14x = 193,311 × 79,671.48
  4. Step 4: Simplify right side
    140,086.14x = 15,401,373,470.28
  5. Step 5: Solve for x
    x = 15,401,373,470.28/140,086.14
  6. Step 6: Final answer
    x = 109,942.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.