Finding the Fourth Proportional to 208,294.26, 312,376.74 and 75,157.14
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Solution
The fourth proportional to 208,294.26, 312,376.74 and 75,157.14 is: 112,712.38
Step by Step Solution
- Step 1: Write the proportion equation
208,294.26 : 312,376.74 = 75,157.14 : x - Step 2: Convert to fraction form
208,294.26/312,376.74 = 75,157.14/x - Step 3: Cross multiply
208,294.26x = 312,376.74 × 75,157.14 - Step 4: Simplify right side
208,294.26x = 23,477,342,380.92 - Step 5: Solve for x
x = 23,477,342,380.92/208,294.26 - Step 6: Final answer
x = 112,712.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.