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Finding the Fourth Proportional to 203,993.23, 305,771.08 and 98,667.31

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Solution

The fourth proportional to 203,993.23, 305,771.08 and 98,667.31 is: 147,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,993.23 : 305,771.08 = 98,667.31 : x
  2. Step 2: Convert to fraction form
    203,993.23/305,771.08 = 98,667.31/x
  3. Step 3: Cross multiply
    203,993.23x = 305,771.08 × 98,667.31
  4. Step 4: Simplify right side
    203,993.23x = 30,169,609,939.39
  5. Step 5: Solve for x
    x = 30,169,609,939.39/203,993.23
  6. Step 6: Final answer
    x = 147,895.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.