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Finding the Fourth Proportional to 206,291.31, 284,705.61 and 115,671.75

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Solution

The fourth proportional to 206,291.31, 284,705.61 and 115,671.75 is: 159,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,291.31 : 284,705.61 = 115,671.75 : x
  2. Step 2: Convert to fraction form
    206,291.31/284,705.61 = 115,671.75/x
  3. Step 3: Cross multiply
    206,291.31x = 284,705.61 × 115,671.75
  4. Step 4: Simplify right side
    206,291.31x = 32,932,396,143.52
  5. Step 5: Solve for x
    x = 32,932,396,143.52/206,291.31
  6. Step 6: Final answer
    x = 159,640.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.