Finding the Fourth Proportional to 209,873.80, 289,617.41 and 114,378.44
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Solution
The fourth proportional to 209,873.80, 289,617.41 and 114,378.44 is: 157,837.65
Step by Step Solution
- Step 1: Write the proportion equation
209,873.80 : 289,617.41 = 114,378.44 : x - Step 2: Convert to fraction form
209,873.80/289,617.41 = 114,378.44/x - Step 3: Cross multiply
209,873.80x = 289,617.41 × 114,378.44 - Step 4: Simplify right side
209,873.80x = 33,125,986,980.75 - Step 5: Solve for x
x = 33,125,986,980.75/209,873.80 - Step 6: Final answer
x = 157,837.65
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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.