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Finding the Fourth Proportional to 49,682, 74,522.40 and 20,099.60

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Solution

The fourth proportional to 49,682, 74,522.40 and 20,099.60 is: 30,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,682 : 74,522.40 = 20,099.60 : x
  2. Step 2: Convert to fraction form
    49,682/74,522.40 = 20,099.60/x
  3. Step 3: Cross multiply
    49,682x = 74,522.40 × 20,099.60
  4. Step 4: Simplify right side
    49,682x = 1,497,870,431.04
  5. Step 5: Solve for x
    x = 1,497,870,431.04/49,682
  6. Step 6: Final answer
    x = 30,149.16

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Why These Related Problems?

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