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Finding the Fourth Proportional to 206,809.62, 285,353.01 and 120,729.54

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Solution

The fourth proportional to 206,809.62, 285,353.01 and 120,729.54 is: 166,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,809.62 : 285,353.01 = 120,729.54 : x
  2. Step 2: Convert to fraction form
    206,809.62/285,353.01 = 120,729.54/x
  3. Step 3: Cross multiply
    206,809.62x = 285,353.01 × 120,729.54
  4. Step 4: Simplify right side
    206,809.62x = 34,450,535,774.91
  5. Step 5: Solve for x
    x = 34,450,535,774.91/206,809.62
  6. Step 6: Final answer
    x = 166,580.91

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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.