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Finding the Fourth Proportional to 218,109, 300,873.78 and 146,365.68

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Solution

The fourth proportional to 218,109, 300,873.78 and 146,365.68 is: 201,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,109 : 300,873.78 = 146,365.68 : x
  2. Step 2: Convert to fraction form
    218,109/300,873.78 = 146,365.68/x
  3. Step 3: Cross multiply
    218,109x = 300,873.78 × 146,365.68
  4. Step 4: Simplify right side
    218,109x = 44,037,595,403.87
  5. Step 5: Solve for x
    x = 44,037,595,403.87/218,109
  6. Step 6: Final answer
    x = 201,906.37

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Why These Related Problems?

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