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Finding the Fourth Proportional to 49,346.46, 74,019 and 11,906.21

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Solution

The fourth proportional to 49,346.46, 74,019 and 11,906.21 is: 17,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346.46 : 74,019 = 11,906.21 : x
  2. Step 2: Convert to fraction form
    49,346.46/74,019 = 11,906.21/x
  3. Step 3: Cross multiply
    49,346.46x = 74,019 × 11,906.21
  4. Step 4: Simplify right side
    49,346.46x = 881,285,943.04
  5. Step 5: Solve for x
    x = 881,285,943.04/49,346.46
  6. Step 6: Final answer
    x = 17,859.15

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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.