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Finding the Fourth Proportional to 100,183.70, 138,253.71 and 54,243.83

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Solution

The fourth proportional to 100,183.70, 138,253.71 and 54,243.83 is: 74,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,183.70 : 138,253.71 = 54,243.83 : x
  2. Step 2: Convert to fraction form
    100,183.70/138,253.71 = 54,243.83/x
  3. Step 3: Cross multiply
    100,183.70x = 138,253.71 × 54,243.83
  4. Step 4: Simplify right side
    100,183.70x = 7,499,410,050.84
  5. Step 5: Solve for x
    x = 7,499,410,050.84/100,183.70
  6. Step 6: Final answer
    x = 74,856.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.