Finding the Fourth Proportional to 206,239.64, 284,605.96 and 120,193.14
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Solution
The fourth proportional to 206,239.64, 284,605.96 and 120,193.14 is: 165,863.77
Step by Step Solution
- Step 1: Write the proportion equation
206,239.64 : 284,605.96 = 120,193.14 : x - Step 2: Convert to fraction form
206,239.64/284,605.96 = 120,193.14/x - Step 3: Cross multiply
206,239.64x = 284,605.96 × 120,193.14 - Step 4: Simplify right side
206,239.64x = 34,207,683,995.11 - Step 5: Solve for x
x = 34,207,683,995.11/206,239.64 - Step 6: Final answer
x = 165,863.77
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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.