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Finding the Fourth Proportional to 217,755.78, 326,063.43 and 142,639.62

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Solution

The fourth proportional to 217,755.78, 326,063.43 and 142,639.62 is: 213,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,755.78 : 326,063.43 = 142,639.62 : x
  2. Step 2: Convert to fraction form
    217,755.78/326,063.43 = 142,639.62/x
  3. Step 3: Cross multiply
    217,755.78x = 326,063.43 × 142,639.62
  4. Step 4: Simplify right side
    217,755.78x = 46,509,563,751.10
  5. Step 5: Solve for x
    x = 46,509,563,751.10/217,755.78
  6. Step 6: Final answer
    x = 213,585.90

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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.