Finding the Fourth Proportional to 138,107.48, 190,586.42 and 77,678.09
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Solution
The fourth proportional to 138,107.48, 190,586.42 and 77,678.09 is: 107,194.69
Step by Step Solution
- Step 1: Write the proportion equation
138,107.48 : 190,586.42 = 77,678.09 : x - Step 2: Convert to fraction form
138,107.48/190,586.42 = 77,678.09/x - Step 3: Cross multiply
138,107.48x = 190,586.42 × 77,678.09 - Step 4: Simplify right side
138,107.48x = 14,804,387,744.22 - Step 5: Solve for x
x = 14,804,387,744.22/138,107.48 - Step 6: Final answer
x = 107,194.69
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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.