Finding the Fourth Proportional to 121,878.26, 182,817.96 and 31,920.78
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Solution
The fourth proportional to 121,878.26, 182,817.96 and 31,920.78 is: 47,881.32
Step by Step Solution
- Step 1: Write the proportion equation
121,878.26 : 182,817.96 = 31,920.78 : x - Step 2: Convert to fraction form
121,878.26/182,817.96 = 31,920.78/x - Step 3: Cross multiply
121,878.26x = 182,817.96 × 31,920.78 - Step 4: Simplify right side
121,878.26x = 5,835,691,881.21 - Step 5: Solve for x
x = 5,835,691,881.21/121,878.26 - Step 6: Final answer
x = 47,881.32
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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.