Finding the Fourth Proportional to 149,891.06, 206,849.70 and 82,823.06
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Solution
The fourth proportional to 149,891.06, 206,849.70 and 82,823.06 is: 114,295.84
Step by Step Solution
- Step 1: Write the proportion equation
149,891.06 : 206,849.70 = 82,823.06 : x - Step 2: Convert to fraction form
149,891.06/206,849.70 = 82,823.06/x - Step 3: Cross multiply
149,891.06x = 206,849.70 × 82,823.06 - Step 4: Simplify right side
149,891.06x = 17,131,925,631.21 - Step 5: Solve for x
x = 17,131,925,631.21/149,891.06 - Step 6: Final answer
x = 114,295.84
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.