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Finding the Fourth Proportional to 189,933.44, 284,940.48 and 71,601.92

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Solution

The fourth proportional to 189,933.44, 284,940.48 and 71,601.92 is: 107,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,933.44 : 284,940.48 = 71,601.92 : x
  2. Step 2: Convert to fraction form
    189,933.44/284,940.48 = 71,601.92/x
  3. Step 3: Cross multiply
    189,933.44x = 284,940.48 × 71,601.92
  4. Step 4: Simplify right side
    189,933.44x = 20,402,285,453.72
  5. Step 5: Solve for x
    x = 20,402,285,453.72/189,933.44
  6. Step 6: Final answer
    x = 107,418.08

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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.