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Finding the Fourth Proportional to 193,910.32, 291,020.96 and 100,442.80

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Solution

The fourth proportional to 193,910.32, 291,020.96 and 100,442.80 is: 150,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,910.32 : 291,020.96 = 100,442.80 : x
  2. Step 2: Convert to fraction form
    193,910.32/291,020.96 = 100,442.80/x
  3. Step 3: Cross multiply
    193,910.32x = 291,020.96 × 100,442.80
  4. Step 4: Simplify right side
    193,910.32x = 29,230,960,081.09
  5. Step 5: Solve for x
    x = 29,230,960,081.09/193,910.32
  6. Step 6: Final answer
    x = 150,744.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.