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Finding the Fourth Proportional to 206,007.36, 284,166 and 121,054.56

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Solution

The fourth proportional to 206,007.36, 284,166 and 121,054.56 is: 166,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,007.36 : 284,166 = 121,054.56 : x
  2. Step 2: Convert to fraction form
    206,007.36/284,166 = 121,054.56/x
  3. Step 3: Cross multiply
    206,007.36x = 284,166 × 121,054.56
  4. Step 4: Simplify right side
    206,007.36x = 34,399,590,096.96
  5. Step 5: Solve for x
    x = 34,399,590,096.96/206,007.36
  6. Step 6: Final answer
    x = 166,982.34

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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.