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Finding the Fourth Proportional to 37,123, 51,229.75 and 20,356.36

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Solution

The fourth proportional to 37,123, 51,229.75 and 20,356.36 is: 28,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,123 : 51,229.75 = 20,356.36 : x
  2. Step 2: Convert to fraction form
    37,123/51,229.75 = 20,356.36/x
  3. Step 3: Cross multiply
    37,123x = 51,229.75 × 20,356.36
  4. Step 4: Simplify right side
    37,123x = 1,042,851,233.71
  5. Step 5: Solve for x
    x = 1,042,851,233.71/37,123
  6. Step 6: Final answer
    x = 28,091.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.