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Finding the Fourth Proportional to 190,375.78, 285,489.84 and 101,580.85

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Solution

The fourth proportional to 190,375.78, 285,489.84 and 101,580.85 is: 152,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,375.78 : 285,489.84 = 101,580.85 : x
  2. Step 2: Convert to fraction form
    190,375.78/285,489.84 = 101,580.85/x
  3. Step 3: Cross multiply
    190,375.78x = 285,489.84 × 101,580.85
  4. Step 4: Simplify right side
    190,375.78x = 29,000,300,613.56
  5. Step 5: Solve for x
    x = 29,000,300,613.56/190,375.78
  6. Step 6: Final answer
    x = 152,331.88

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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.