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Finding the Fourth Proportional to 218,537.82, 327,863.07 and 118,672.38

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Solution

The fourth proportional to 218,537.82, 327,863.07 and 118,672.38 is: 178,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,537.82 : 327,863.07 = 118,672.38 : x
  2. Step 2: Convert to fraction form
    218,537.82/327,863.07 = 118,672.38/x
  3. Step 3: Cross multiply
    218,537.82x = 327,863.07 × 118,672.38
  4. Step 4: Simplify right side
    218,537.82x = 38,908,290,831.01
  5. Step 5: Solve for x
    x = 38,908,290,831.01/218,537.82
  6. Step 6: Final answer
    x = 178,039.16

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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.