Finding the Fourth Proportional to 206,265.92, 284,644.68 and 115,636.64
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Solution
The fourth proportional to 206,265.92, 284,644.68 and 115,636.64 is: 159,577.28
Step by Step Solution
- Step 1: Write the proportion equation
206,265.92 : 284,644.68 = 115,636.64 : x - Step 2: Convert to fraction form
206,265.92/284,644.68 = 115,636.64/x - Step 3: Cross multiply
206,265.92x = 284,644.68 × 115,636.64 - Step 4: Simplify right side
206,265.92x = 32,915,354,389.08 - Step 5: Solve for x
x = 32,915,354,389.08/206,265.92 - Step 6: Final answer
x = 159,577.28
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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.