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Finding the Fourth Proportional to 140,478, 193,859.64 and 80,862

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Solution

The fourth proportional to 140,478, 193,859.64 and 80,862 is: 111,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,478 : 193,859.64 = 80,862 : x
  2. Step 2: Convert to fraction form
    140,478/193,859.64 = 80,862/x
  3. Step 3: Cross multiply
    140,478x = 193,859.64 × 80,862
  4. Step 4: Simplify right side
    140,478x = 15,675,878,209.68
  5. Step 5: Solve for x
    x = 15,675,878,209.68/140,478
  6. Step 6: Final answer
    x = 111,589.56

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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.