Finding the Fourth Proportional to 106,241.41, 159,379.42 and 31,369.12
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Solution
The fourth proportional to 106,241.41, 159,379.42 and 31,369.12 is: 47,058.79
Step by Step Solution
- Step 1: Write the proportion equation
106,241.41 : 159,379.42 = 31,369.12 : x - Step 2: Convert to fraction form
106,241.41/159,379.42 = 31,369.12/x - Step 3: Cross multiply
106,241.41x = 159,379.42 × 31,369.12 - Step 4: Simplify right side
106,241.41x = 4,999,591,596.22 - Step 5: Solve for x
x = 4,999,591,596.22/106,241.41 - Step 6: Final answer
x = 47,058.79
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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.