Finding the Fourth Proportional to 205,893.97, 284,138.49 and 115,247.68
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Solution
The fourth proportional to 205,893.97, 284,138.49 and 115,247.68 is: 159,044.49
Step by Step Solution
- Step 1: Write the proportion equation
205,893.97 : 284,138.49 = 115,247.68 : x - Step 2: Convert to fraction form
205,893.97/284,138.49 = 115,247.68/x - Step 3: Cross multiply
205,893.97x = 284,138.49 × 115,247.68 - Step 4: Simplify right side
205,893.97x = 32,746,301,771.20 - Step 5: Solve for x
x = 32,746,301,771.20/205,893.97 - Step 6: Final answer
x = 159,044.49
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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.