Finding the Fourth Proportional to 212,782.84, 319,295.94 and 107,609.56
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Solution
The fourth proportional to 212,782.84, 319,295.94 and 107,609.56 is: 161,475.88
Step by Step Solution
- Step 1: Write the proportion equation
212,782.84 : 319,295.94 = 107,609.56 : x - Step 2: Convert to fraction form
212,782.84/319,295.94 = 107,609.56/x - Step 3: Cross multiply
212,782.84x = 319,295.94 × 107,609.56 - Step 4: Simplify right side
212,782.84x = 34,359,295,613.19 - Step 5: Solve for x
x = 34,359,295,613.19/212,782.84 - Step 6: Final answer
x = 161,475.88
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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.