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Finding the Fourth Proportional to 140,621.70, 194,053.16 and 80,211.90

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Solution

The fourth proportional to 140,621.70, 194,053.16 and 80,211.90 is: 110,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,621.70 : 194,053.16 = 80,211.90 : x
  2. Step 2: Convert to fraction form
    140,621.70/194,053.16 = 80,211.90/x
  3. Step 3: Cross multiply
    140,621.70x = 194,053.16 × 80,211.90
  4. Step 4: Simplify right side
    140,621.70x = 15,565,372,263.54
  5. Step 5: Solve for x
    x = 15,565,372,263.54/140,621.70
  6. Step 6: Final answer
    x = 110,689.69

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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.