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Finding the Fourth Proportional to 218,412.96, 327,619.21 and 68,666.33

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Solution

The fourth proportional to 218,412.96, 327,619.21 and 68,666.33 is: 102,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,412.96 : 327,619.21 = 68,666.33 : x
  2. Step 2: Convert to fraction form
    218,412.96/327,619.21 = 68,666.33/x
  3. Step 3: Cross multiply
    218,412.96x = 327,619.21 × 68,666.33
  4. Step 4: Simplify right side
    218,412.96x = 22,496,409,371.21
  5. Step 5: Solve for x
    x = 22,496,409,371.21/218,412.96
  6. Step 6: Final answer
    x = 102,999.43

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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.