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Finding the Fourth Proportional to 51,188, 76,782 and 22,004

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Solution

The fourth proportional to 51,188, 76,782 and 22,004 is: 33,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,188 : 76,782 = 22,004 : x
  2. Step 2: Convert to fraction form
    51,188/76,782 = 22,004/x
  3. Step 3: Cross multiply
    51,188x = 76,782 × 22,004
  4. Step 4: Simplify right side
    51,188x = 1,689,511,128
  5. Step 5: Solve for x
    x = 1,689,511,128/51,188
  6. Step 6: Final answer
    x = 33,006

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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.