Finding the Fourth Proportional to 188,193.81, 282,291.11 and 132,284.09
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Solution
The fourth proportional to 188,193.81, 282,291.11 and 132,284.09 is: 198,426.41
Step by Step Solution
- Step 1: Write the proportion equation
188,193.81 : 282,291.11 = 132,284.09 : x - Step 2: Convert to fraction form
188,193.81/282,291.11 = 132,284.09/x - Step 3: Cross multiply
188,193.81x = 282,291.11 × 132,284.09 - Step 4: Simplify right side
188,193.81x = 37,342,622,601.44 - Step 5: Solve for x
x = 37,342,622,601.44/188,193.81 - Step 6: Final answer
x = 198,426.41
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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.