Finding the Fourth Proportional to 209,206.42, 288,843.89 and 160,721.99
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Solution
The fourth proportional to 209,206.42, 288,843.89 and 160,721.99 is: 221,903.16
Step by Step Solution
- Step 1: Write the proportion equation
209,206.42 : 288,843.89 = 160,721.99 : x - Step 2: Convert to fraction form
209,206.42/288,843.89 = 160,721.99/x - Step 3: Cross multiply
209,206.42x = 288,843.89 × 160,721.99 - Step 4: Simplify right side
209,206.42x = 46,423,564,800.14 - Step 5: Solve for x
x = 46,423,564,800.14/209,206.42 - Step 6: Final answer
x = 221,903.16
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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.