Finding the Fourth Proportional to 217,286.42, 299,855.91 and 120,497.09
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Solution
The fourth proportional to 217,286.42, 299,855.91 and 120,497.09 is: 166,286.34
Step by Step Solution
- Step 1: Write the proportion equation
217,286.42 : 299,855.91 = 120,497.09 : x - Step 2: Convert to fraction form
217,286.42/299,855.91 = 120,497.09/x - Step 3: Cross multiply
217,286.42x = 299,855.91 × 120,497.09 - Step 4: Simplify right side
217,286.42x = 36,131,763,075.02 - Step 5: Solve for x
x = 36,131,763,075.02/217,286.42 - Step 6: Final answer
x = 166,286.34
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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.