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Finding the Fourth Proportional to 189,290.80, 284,076.96 and 89,481.60

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Solution

The fourth proportional to 189,290.80, 284,076.96 and 89,481.60 is: 134,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,290.80 : 284,076.96 = 89,481.60 : x
  2. Step 2: Convert to fraction form
    189,290.80/284,076.96 = 89,481.60/x
  3. Step 3: Cross multiply
    189,290.80x = 284,076.96 × 89,481.60
  4. Step 4: Simplify right side
    189,290.80x = 25,419,660,903.94
  5. Step 5: Solve for x
    x = 25,419,660,903.94/189,290.80
  6. Step 6: Final answer
    x = 134,288.94

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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.