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Finding the Fourth Proportional to 180,579.30, 270,912.16 and 75,339.78

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Solution

The fourth proportional to 180,579.30, 270,912.16 and 75,339.78 is: 113,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,579.30 : 270,912.16 = 75,339.78 : x
  2. Step 2: Convert to fraction form
    180,579.30/270,912.16 = 75,339.78/x
  3. Step 3: Cross multiply
    180,579.30x = 270,912.16 × 75,339.78
  4. Step 4: Simplify right side
    180,579.30x = 20,410,462,533.72
  5. Step 5: Solve for x
    x = 20,410,462,533.72/180,579.30
  6. Step 6: Final answer
    x = 113,027.70

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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.