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Finding the Fourth Proportional to 218,104.82, 300,975.88 and 122,609.48

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Solution

The fourth proportional to 218,104.82, 300,975.88 and 122,609.48 is: 169,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,104.82 : 300,975.88 = 122,609.48 : x
  2. Step 2: Convert to fraction form
    218,104.82/300,975.88 = 122,609.48/x
  3. Step 3: Cross multiply
    218,104.82x = 300,975.88 × 122,609.48
  4. Step 4: Simplify right side
    218,104.82x = 36,902,496,139.34
  5. Step 5: Solve for x
    x = 36,902,496,139.34/218,104.82
  6. Step 6: Final answer
    x = 169,196.15

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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.