Finding the Fourth Proportional to 145,869.28, 201,296.80 and 82,205.80
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Solution
The fourth proportional to 145,869.28, 201,296.80 and 82,205.80 is: 113,442.42
Step by Step Solution
- Step 1: Write the proportion equation
145,869.28 : 201,296.80 = 82,205.80 : x - Step 2: Convert to fraction form
145,869.28/201,296.80 = 82,205.80/x - Step 3: Cross multiply
145,869.28x = 201,296.80 × 82,205.80 - Step 4: Simplify right side
145,869.28x = 16,547,764,481.44 - Step 5: Solve for x
x = 16,547,764,481.44/145,869.28 - Step 6: Final answer
x = 113,442.42
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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.