Finding the Fourth Proportional to 133,213.26, 183,832.14 and 72,782.61
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Solution
The fourth proportional to 133,213.26, 183,832.14 and 72,782.61 is: 100,438.82
Step by Step Solution
- Step 1: Write the proportion equation
133,213.26 : 183,832.14 = 72,782.61 : x - Step 2: Convert to fraction form
133,213.26/183,832.14 = 72,782.61/x - Step 3: Cross multiply
133,213.26x = 183,832.14 × 72,782.61 - Step 4: Simplify right side
133,213.26x = 13,379,782,951.09 - Step 5: Solve for x
x = 13,379,782,951.09/133,213.26 - Step 6: Final answer
x = 100,438.82
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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.