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Finding the Fourth Proportional to 206,797.70, 285,308.16 and 135,219.62

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Solution

The fourth proportional to 206,797.70, 285,308.16 and 135,219.62 is: 186,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,797.70 : 285,308.16 = 135,219.62 : x
  2. Step 2: Convert to fraction form
    206,797.70/285,308.16 = 135,219.62/x
  3. Step 3: Cross multiply
    206,797.70x = 285,308.16 × 135,219.62
  4. Step 4: Simplify right side
    206,797.70x = 38,579,261,184.30
  5. Step 5: Solve for x
    x = 38,579,261,184.30/206,797.70
  6. Step 6: Final answer
    x = 186,555.56

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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.