Finding the Fourth Proportional to 189,584.26, 284,435.10 and 113,767.48
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Solution
The fourth proportional to 189,584.26, 284,435.10 and 113,767.48 is: 170,686.45
Step by Step Solution
- Step 1: Write the proportion equation
189,584.26 : 284,435.10 = 113,767.48 : x - Step 2: Convert to fraction form
189,584.26/284,435.10 = 113,767.48/x - Step 3: Cross multiply
189,584.26x = 284,435.10 × 113,767.48 - Step 4: Simplify right side
189,584.26x = 32,359,464,550.55 - Step 5: Solve for x
x = 32,359,464,550.55/189,584.26 - Step 6: Final answer
x = 170,686.45
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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.