Finding the Fourth Proportional to 189,584.28, 284,375.52 and 49,342.68
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Solution
The fourth proportional to 189,584.28, 284,375.52 and 49,342.68 is: 74,013.79
Step by Step Solution
- Step 1: Write the proportion equation
189,584.28 : 284,375.52 = 49,342.68 : x - Step 2: Convert to fraction form
189,584.28/284,375.52 = 49,342.68/x - Step 3: Cross multiply
189,584.28x = 284,375.52 × 49,342.68 - Step 4: Simplify right side
189,584.28x = 14,031,850,283.19 - Step 5: Solve for x
x = 14,031,850,283.19/189,584.28 - Step 6: Final answer
x = 74,013.79
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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.