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Finding the Fourth Proportional to 189,940.80, 284,916 and 65,280.96

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Solution

The fourth proportional to 189,940.80, 284,916 and 65,280.96 is: 97,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,940.80 : 284,916 = 65,280.96 : x
  2. Step 2: Convert to fraction form
    189,940.80/284,916 = 65,280.96/x
  3. Step 3: Cross multiply
    189,940.80x = 284,916 × 65,280.96
  4. Step 4: Simplify right side
    189,940.80x = 18,599,589,999.36
  5. Step 5: Solve for x
    x = 18,599,589,999.36/189,940.80
  6. Step 6: Final answer
    x = 97,923.09

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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.