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Finding the Fourth Proportional to 218,099.34, 300,975.39 and 121,304.08

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Solution

The fourth proportional to 218,099.34, 300,975.39 and 121,304.08 is: 167,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,099.34 : 300,975.39 = 121,304.08 : x
  2. Step 2: Convert to fraction form
    218,099.34/300,975.39 = 121,304.08/x
  3. Step 3: Cross multiply
    218,099.34x = 300,975.39 × 121,304.08
  4. Step 4: Simplify right side
    218,099.34x = 36,509,542,786.59
  5. Step 5: Solve for x
    x = 36,509,542,786.59/218,099.34
  6. Step 6: Final answer
    x = 167,398.69

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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.