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Finding the Fourth Proportional to 138,142.56, 207,213.84 and 91,384.52

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Solution

The fourth proportional to 138,142.56, 207,213.84 and 91,384.52 is: 137,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,142.56 : 207,213.84 = 91,384.52 : x
  2. Step 2: Convert to fraction form
    138,142.56/207,213.84 = 91,384.52/x
  3. Step 3: Cross multiply
    138,142.56x = 207,213.84 × 91,384.52
  4. Step 4: Simplify right side
    138,142.56x = 18,936,137,305.76
  5. Step 5: Solve for x
    x = 18,936,137,305.76/138,142.56
  6. Step 6: Final answer
    x = 137,076.78

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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.