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Finding the Fourth Proportional to 140,569.80, 193,991.10 and 80,149.32

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Solution

The fourth proportional to 140,569.80, 193,991.10 and 80,149.32 is: 110,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,569.80 : 193,991.10 = 80,149.32 : x
  2. Step 2: Convert to fraction form
    140,569.80/193,991.10 = 80,149.32/x
  3. Step 3: Cross multiply
    140,569.80x = 193,991.10 × 80,149.32
  4. Step 4: Simplify right side
    140,569.80x = 15,548,254,751.05
  5. Step 5: Solve for x
    x = 15,548,254,751.05/140,569.80
  6. Step 6: Final answer
    x = 110,608.78

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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.