Finding the Fourth Proportional to 214,043.10, 295,578.03 and 160,234.70
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Solution
The fourth proportional to 214,043.10, 295,578.03 and 160,234.70 is: 221,272.52
Step by Step Solution
- Step 1: Write the proportion equation
214,043.10 : 295,578.03 = 160,234.70 : x - Step 2: Convert to fraction form
214,043.10/295,578.03 = 160,234.70/x - Step 3: Cross multiply
214,043.10x = 295,578.03 × 160,234.70 - Step 4: Simplify right side
214,043.10x = 47,361,856,963.64 - Step 5: Solve for x
x = 47,361,856,963.64/214,043.10 - Step 6: Final answer
x = 221,272.52
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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.