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Finding the Fourth Proportional to 140,617.62, 194,055.66 and 80,194.05

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Solution

The fourth proportional to 140,617.62, 194,055.66 and 80,194.05 is: 110,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,617.62 : 194,055.66 = 80,194.05 : x
  2. Step 2: Convert to fraction form
    140,617.62/194,055.66 = 80,194.05/x
  3. Step 3: Cross multiply
    140,617.62x = 194,055.66 × 80,194.05
  4. Step 4: Simplify right side
    140,617.62x = 15,562,109,300.82
  5. Step 5: Solve for x
    x = 15,562,109,300.82/140,617.62
  6. Step 6: Final answer
    x = 110,669.70

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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.