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Finding the Fourth Proportional to 137,755.63, 206,713.16 and 57,786.43

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Solution

The fourth proportional to 137,755.63, 206,713.16 and 57,786.43 is: 86,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,755.63 : 206,713.16 = 57,786.43 : x
  2. Step 2: Convert to fraction form
    137,755.63/206,713.16 = 57,786.43/x
  3. Step 3: Cross multiply
    137,755.63x = 206,713.16 × 57,786.43
  4. Step 4: Simplify right side
    137,755.63x = 11,945,215,261.49
  5. Step 5: Solve for x
    x = 11,945,215,261.49/137,755.63
  6. Step 6: Final answer
    x = 86,713.09

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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.