Finding the Fourth Proportional to 209,818.24, 289,549.20 and 114,324.96
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Solution
The fourth proportional to 209,818.24, 289,549.20 and 114,324.96 is: 157,768.46
Step by Step Solution
- Step 1: Write the proportion equation
209,818.24 : 289,549.20 = 114,324.96 : x - Step 2: Convert to fraction form
209,818.24/289,549.20 = 114,324.96/x - Step 3: Cross multiply
209,818.24x = 289,549.20 × 114,324.96 - Step 4: Simplify right side
209,818.24x = 33,102,700,708.03 - Step 5: Solve for x
x = 33,102,700,708.03/209,818.24 - Step 6: Final answer
x = 157,768.46
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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.