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Finding the Fourth Proportional to 137,843.78, 206,668.36 and 53,533.71

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Solution

The fourth proportional to 137,843.78, 206,668.36 and 53,533.71 is: 80,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,843.78 : 206,668.36 = 53,533.71 : x
  2. Step 2: Convert to fraction form
    137,843.78/206,668.36 = 53,533.71/x
  3. Step 3: Cross multiply
    137,843.78x = 206,668.36 × 53,533.71
  4. Step 4: Simplify right side
    137,843.78x = 11,063,724,117.33
  5. Step 5: Solve for x
    x = 11,063,724,117.33/137,843.78
  6. Step 6: Final answer
    x = 80,262.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.