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Finding the Fourth Proportional to 206,896.80, 285,446.52 and 134,390.28

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Solution

The fourth proportional to 206,896.80, 285,446.52 and 134,390.28 is: 185,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.80 : 285,446.52 = 134,390.28 : x
  2. Step 2: Convert to fraction form
    206,896.80/285,446.52 = 134,390.28/x
  3. Step 3: Cross multiply
    206,896.80x = 285,446.52 × 134,390.28
  4. Step 4: Simplify right side
    206,896.80x = 38,361,237,747.83
  5. Step 5: Solve for x
    x = 38,361,237,747.83/206,896.80
  6. Step 6: Final answer
    x = 185,412.43

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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.