Finding the Fourth Proportional to 205,894.68, 284,138.46 and 116,470.68
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Solution
The fourth proportional to 205,894.68, 284,138.46 and 116,470.68 is: 160,731.69
Step by Step Solution
- Step 1: Write the proportion equation
205,894.68 : 284,138.46 = 116,470.68 : x - Step 2: Convert to fraction form
205,894.68/284,138.46 = 116,470.68/x - Step 3: Cross multiply
205,894.68x = 284,138.46 × 116,470.68 - Step 4: Simplify right side
205,894.68x = 33,093,799,650.35 - Step 5: Solve for x
x = 33,093,799,650.35/205,894.68 - Step 6: Final answer
x = 160,731.69
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.