Finding the Fourth Proportional to 149,302.14, 206,036.94 and 82,234.14
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Solution
The fourth proportional to 149,302.14, 206,036.94 and 82,234.14 is: 113,483.11
Step by Step Solution
- Step 1: Write the proportion equation
149,302.14 : 206,036.94 = 82,234.14 : x - Step 2: Convert to fraction form
149,302.14/206,036.94 = 82,234.14/x - Step 3: Cross multiply
149,302.14x = 206,036.94 × 82,234.14 - Step 4: Simplify right side
149,302.14x = 16,943,270,569.13 - Step 5: Solve for x
x = 16,943,270,569.13/149,302.14 - Step 6: Final answer
x = 113,483.11
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.