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Finding the Fourth Proportional to 218,084.34, 326,516.58 and 117,885

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Solution

The fourth proportional to 218,084.34, 326,516.58 and 117,885 is: 176,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,084.34 : 326,516.58 = 117,885 : x
  2. Step 2: Convert to fraction form
    218,084.34/326,516.58 = 117,885/x
  3. Step 3: Cross multiply
    218,084.34x = 326,516.58 × 117,885
  4. Step 4: Simplify right side
    218,084.34x = 38,491,407,033.30
  5. Step 5: Solve for x
    x = 38,491,407,033.30/218,084.34
  6. Step 6: Final answer
    x = 176,497.80

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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.