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Finding the Fourth Proportional to 150,660, 225,990 and 52,164

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Solution

The fourth proportional to 150,660, 225,990 and 52,164 is: 78,246

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,660 : 225,990 = 52,164 : x
  2. Step 2: Convert to fraction form
    150,660/225,990 = 52,164/x
  3. Step 3: Cross multiply
    150,660x = 225,990 × 52,164
  4. Step 4: Simplify right side
    150,660x = 11,788,542,360
  5. Step 5: Solve for x
    x = 11,788,542,360/150,660
  6. Step 6: Final answer
    x = 78,246

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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.