Finding the Fourth Proportional to 209,983.19, 289,778.11 and 114,491.48
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Solution
The fourth proportional to 209,983.19, 289,778.11 and 114,491.48 is: 157,998.95
Step by Step Solution
- Step 1: Write the proportion equation
209,983.19 : 289,778.11 = 114,491.48 : x - Step 2: Convert to fraction form
209,983.19/289,778.11 = 114,491.48/x - Step 3: Cross multiply
209,983.19x = 289,778.11 × 114,491.48 - Step 4: Simplify right side
209,983.19x = 33,177,122,950.38 - Step 5: Solve for x
x = 33,177,122,950.38/209,983.19 - Step 6: Final answer
x = 157,998.95
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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.