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Finding the Fourth Proportional to 218,036, 300,914.64 and 121,249.52

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Solution

The fourth proportional to 218,036, 300,914.64 and 121,249.52 is: 167,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,036 : 300,914.64 = 121,249.52 : x
  2. Step 2: Convert to fraction form
    218,036/300,914.64 = 121,249.52/x
  3. Step 3: Cross multiply
    218,036x = 300,914.64 × 121,249.52
  4. Step 4: Simplify right side
    218,036x = 36,485,755,660.97
  5. Step 5: Solve for x
    x = 36,485,755,660.97/218,036
  6. Step 6: Final answer
    x = 167,338.22

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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.