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Finding the Fourth Proportional to 140,477, 193,858.26 and 80,861

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Solution

The fourth proportional to 140,477, 193,858.26 and 80,861 is: 111,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,477 : 193,858.26 = 80,861 : x
  2. Step 2: Convert to fraction form
    140,477/193,858.26 = 80,861/x
  3. Step 3: Cross multiply
    140,477x = 193,858.26 × 80,861
  4. Step 4: Simplify right side
    140,477x = 15,675,572,761.86
  5. Step 5: Solve for x
    x = 15,675,572,761.86/140,477
  6. Step 6: Final answer
    x = 111,588.18

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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.