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Finding the Fourth Proportional to 109,651.15, 164,424.87 and 50,469.31

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Solution

The fourth proportional to 109,651.15, 164,424.87 and 50,469.31 is: 75,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651.15 : 164,424.87 = 50,469.31 : x
  2. Step 2: Convert to fraction form
    109,651.15/164,424.87 = 50,469.31/x
  3. Step 3: Cross multiply
    109,651.15x = 164,424.87 × 50,469.31
  4. Step 4: Simplify right side
    109,651.15x = 8,298,409,735.74
  5. Step 5: Solve for x
    x = 8,298,409,735.74/109,651.15
  6. Step 6: Final answer
    x = 75,680.10

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