Finding the Fourth Proportional to 209,743.68, 289,452.96 and 114,253.44
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Solution
The fourth proportional to 209,743.68, 289,452.96 and 114,253.44 is: 157,673.39
Step by Step Solution
- Step 1: Write the proportion equation
209,743.68 : 289,452.96 = 114,253.44 : x - Step 2: Convert to fraction form
209,743.68/289,452.96 = 114,253.44/x - Step 3: Cross multiply
209,743.68x = 289,452.96 × 114,253.44 - Step 4: Simplify right side
209,743.68x = 33,070,996,398.18 - Step 5: Solve for x
x = 33,070,996,398.18/209,743.68 - Step 6: Final answer
x = 157,673.39
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1.5x scale
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.