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Finding the Fourth Proportional to 90,777, 136,183.98 and 31,617.30

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Solution

The fourth proportional to 90,777, 136,183.98 and 31,617.30 is: 47,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,777 : 136,183.98 = 31,617.30 : x
  2. Step 2: Convert to fraction form
    90,777/136,183.98 = 31,617.30/x
  3. Step 3: Cross multiply
    90,777x = 136,183.98 × 31,617.30
  4. Step 4: Simplify right side
    90,777x = 4,305,769,750.85
  5. Step 5: Solve for x
    x = 4,305,769,750.85/90,777
  6. Step 6: Final answer
    x = 47,432.39

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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.