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Finding the Fourth Proportional to 218,091.83, 300,965.04 and 121,296.56

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Solution

The fourth proportional to 218,091.83, 300,965.04 and 121,296.56 is: 167,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,091.83 : 300,965.04 = 121,296.56 : x
  2. Step 2: Convert to fraction form
    218,091.83/300,965.04 = 121,296.56/x
  3. Step 3: Cross multiply
    218,091.83x = 300,965.04 × 121,296.56
  4. Step 4: Simplify right side
    218,091.83x = 36,506,022,527.44
  5. Step 5: Solve for x
    x = 36,506,022,527.44/218,091.83
  6. Step 6: Final answer
    x = 167,388.31

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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.