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Finding the Fourth Proportional to 206,326.78, 284,732.49 and 134,664.46

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Solution

The fourth proportional to 206,326.78, 284,732.49 and 134,664.46 is: 185,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,326.78 : 284,732.49 = 134,664.46 : x
  2. Step 2: Convert to fraction form
    206,326.78/284,732.49 = 134,664.46/x
  3. Step 3: Cross multiply
    206,326.78x = 284,732.49 × 134,664.46
  4. Step 4: Simplify right side
    206,326.78x = 38,343,347,010.31
  5. Step 5: Solve for x
    x = 38,343,347,010.31/206,326.78
  6. Step 6: Final answer
    x = 185,837.96

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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.