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Finding the Fourth Proportional to 137,708.71, 206,563.97 and 37,879.45

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Solution

The fourth proportional to 137,708.71, 206,563.97 and 37,879.45 is: 56,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,708.71 : 206,563.97 = 37,879.45 : x
  2. Step 2: Convert to fraction form
    137,708.71/206,563.97 = 37,879.45/x
  3. Step 3: Cross multiply
    137,708.71x = 206,563.97 × 37,879.45
  4. Step 4: Simplify right side
    137,708.71x = 7,824,529,151.71
  5. Step 5: Solve for x
    x = 7,824,529,151.71/137,708.71
  6. Step 6: Final answer
    x = 56,819.42

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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.