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Finding the Fourth Proportional to 140,911.14, 194,465.19 and 80,501.40

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Solution

The fourth proportional to 140,911.14, 194,465.19 and 80,501.40 is: 111,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,911.14 : 194,465.19 = 80,501.40 : x
  2. Step 2: Convert to fraction form
    140,911.14/194,465.19 = 80,501.40/x
  3. Step 3: Cross multiply
    140,911.14x = 194,465.19 × 80,501.40
  4. Step 4: Simplify right side
    140,911.14x = 15,654,720,046.27
  5. Step 5: Solve for x
    x = 15,654,720,046.27/140,911.14
  6. Step 6: Final answer
    x = 111,096.40

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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.