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Finding the Fourth Proportional to 49,812, 74,729.84 and 16,980

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Solution

The fourth proportional to 49,812, 74,729.84 and 16,980 is: 25,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812 : 74,729.84 = 16,980 : x
  2. Step 2: Convert to fraction form
    49,812/74,729.84 = 16,980/x
  3. Step 3: Cross multiply
    49,812x = 74,729.84 × 16,980
  4. Step 4: Simplify right side
    49,812x = 1,268,912,683.20
  5. Step 5: Solve for x
    x = 1,268,912,683.20/49,812
  6. Step 6: Final answer
    x = 25,474.04

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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.