Finding the Fourth Proportional to 71,220.62, 106,842.81 and 31,776.26
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Solution
The fourth proportional to 71,220.62, 106,842.81 and 31,776.26 is: 47,669.69
Step by Step Solution
- Step 1: Write the proportion equation
71,220.62 : 106,842.81 = 31,776.26 : x - Step 2: Convert to fraction form
71,220.62/106,842.81 = 31,776.26/x - Step 3: Cross multiply
71,220.62x = 106,842.81 × 31,776.26 - Step 4: Simplify right side
71,220.62x = 3,395,064,375.48 - Step 5: Solve for x
x = 3,395,064,375.48/71,220.62 - Step 6: Final answer
x = 47,669.69
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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.