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Finding the Fourth Proportional to 138,694.66, 207,917.15 and 49,885.75

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Solution

The fourth proportional to 138,694.66, 207,917.15 and 49,885.75 is: 74,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,694.66 : 207,917.15 = 49,885.75 : x
  2. Step 2: Convert to fraction form
    138,694.66/207,917.15 = 49,885.75/x
  3. Step 3: Cross multiply
    138,694.66x = 207,917.15 × 49,885.75
  4. Step 4: Simplify right side
    138,694.66x = 10,372,102,716.18
  5. Step 5: Solve for x
    x = 10,372,102,716.18/138,694.66
  6. Step 6: Final answer
    x = 74,783.72

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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.