Finding the Fourth Proportional to 205,376.28, 283,409.08 and 114,714.19
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Solution
The fourth proportional to 205,376.28, 283,409.08 and 114,714.19 is: 158,299.89
Step by Step Solution
- Step 1: Write the proportion equation
205,376.28 : 283,409.08 = 114,714.19 : x - Step 2: Convert to fraction form
205,376.28/283,409.08 = 114,714.19/x - Step 3: Cross multiply
205,376.28x = 283,409.08 × 114,714.19 - Step 4: Simplify right side
205,376.28x = 32,511,043,050.85 - Step 5: Solve for x
x = 32,511,043,050.85/205,376.28 - Step 6: Final answer
x = 158,299.89
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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.