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Finding the Fourth Proportional to 140,085.66, 193,310.34 and 79,647.78

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Solution

The fourth proportional to 140,085.66, 193,310.34 and 79,647.78 is: 109,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,085.66 : 193,310.34 = 79,647.78 : x
  2. Step 2: Convert to fraction form
    140,085.66/193,310.34 = 79,647.78/x
  3. Step 3: Cross multiply
    140,085.66x = 193,310.34 × 79,647.78
  4. Step 4: Simplify right side
    140,085.66x = 15,396,739,432.05
  5. Step 5: Solve for x
    x = 15,396,739,432.05/140,085.66
  6. Step 6: Final answer
    x = 109,909.46

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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.