Finding the Fourth Proportional to 209,146.23, 313,462.35 and 96,674.28
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Solution
The fourth proportional to 209,146.23, 313,462.35 and 96,674.28 is: 144,892.63
Step by Step Solution
- Step 1: Write the proportion equation
209,146.23 : 313,462.35 = 96,674.28 : x - Step 2: Convert to fraction form
209,146.23/313,462.35 = 96,674.28/x - Step 3: Cross multiply
209,146.23x = 313,462.35 × 96,674.28 - Step 4: Simplify right side
209,146.23x = 30,303,746,993.36 - Step 5: Solve for x
x = 30,303,746,993.36/209,146.23 - Step 6: Final answer
x = 144,892.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.