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Finding the Fourth Proportional to 49,792.60, 74,687.10 and 20,209.60

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Solution

The fourth proportional to 49,792.60, 74,687.10 and 20,209.60 is: 30,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,792.60 : 74,687.10 = 20,209.60 : x
  2. Step 2: Convert to fraction form
    49,792.60/74,687.10 = 20,209.60/x
  3. Step 3: Cross multiply
    49,792.60x = 74,687.10 × 20,209.60
  4. Step 4: Simplify right side
    49,792.60x = 1,509,396,416.16
  5. Step 5: Solve for x
    x = 1,509,396,416.16/49,792.60
  6. Step 6: Final answer
    x = 30,313.67

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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.