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Finding the Fourth Proportional to 140,743.96, 194,226.96 and 76,213.90

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Solution

The fourth proportional to 140,743.96, 194,226.96 and 76,213.90 is: 105,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,743.96 : 194,226.96 = 76,213.90 : x
  2. Step 2: Convert to fraction form
    140,743.96/194,226.96 = 76,213.90/x
  3. Step 3: Cross multiply
    140,743.96x = 194,226.96 × 76,213.90
  4. Step 4: Simplify right side
    140,743.96x = 14,802,794,106.74
  5. Step 5: Solve for x
    x = 14,802,794,106.74/140,743.96
  6. Step 6: Final answer
    x = 105,175.34

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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.