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Finding the Fourth Proportional to 138,039.46, 206,936.62 and 53,780.12

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Solution

The fourth proportional to 138,039.46, 206,936.62 and 53,780.12 is: 80,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,039.46 : 206,936.62 = 53,780.12 : x
  2. Step 2: Convert to fraction form
    138,039.46/206,936.62 = 53,780.12/x
  3. Step 3: Cross multiply
    138,039.46x = 206,936.62 × 53,780.12
  4. Step 4: Simplify right side
    138,039.46x = 11,129,076,255.99
  5. Step 5: Solve for x
    x = 11,129,076,255.99/138,039.46
  6. Step 6: Final answer
    x = 80,622.43

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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.