Finding the Fourth Proportional to 106,409.88, 159,615.36 and 31,531.68
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Solution
The fourth proportional to 106,409.88, 159,615.36 and 31,531.68 is: 47,297.68
Step by Step Solution
- Step 1: Write the proportion equation
106,409.88 : 159,615.36 = 31,531.68 : x - Step 2: Convert to fraction form
106,409.88/159,615.36 = 31,531.68/x - Step 3: Cross multiply
106,409.88x = 159,615.36 × 31,531.68 - Step 4: Simplify right side
106,409.88x = 5,032,940,454.60 - Step 5: Solve for x
x = 5,032,940,454.60/106,409.88 - Step 6: Final answer
x = 47,297.68
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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.