Finding the Fourth Proportional to 208,906.23, 288,294.09 and 113,412.96
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Solution
The fourth proportional to 208,906.23, 288,294.09 and 113,412.96 is: 156,511.78
Step by Step Solution
- Step 1: Write the proportion equation
208,906.23 : 288,294.09 = 113,412.96 : x - Step 2: Convert to fraction form
208,906.23/288,294.09 = 113,412.96/x - Step 3: Cross multiply
208,906.23x = 288,294.09 × 113,412.96 - Step 4: Simplify right side
208,906.23x = 32,696,286,097.41 - Step 5: Solve for x
x = 32,696,286,097.41/208,906.23 - Step 6: Final answer
x = 156,511.78
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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.