Finding the Fourth Proportional to 146,738.93, 219,617.96 and 83,542.09
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Solution
The fourth proportional to 146,738.93, 219,617.96 and 83,542.09 is: 125,033.91
Step by Step Solution
- Step 1: Write the proportion equation
146,738.93 : 219,617.96 = 83,542.09 : x - Step 2: Convert to fraction form
146,738.93/219,617.96 = 83,542.09/x - Step 3: Cross multiply
146,738.93x = 219,617.96 × 83,542.09 - Step 4: Simplify right side
146,738.93x = 18,347,342,962.23 - Step 5: Solve for x
x = 18,347,342,962.23/146,738.93 - Step 6: Final answer
x = 125,033.91
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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.