Finding the Fourth Proportional to 206,116.98, 284,376.87 and 115,460.70
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Solution
The fourth proportional to 206,116.98, 284,376.87 and 115,460.70 is: 159,299.60
Step by Step Solution
- Step 1: Write the proportion equation
206,116.98 : 284,376.87 = 115,460.70 : x - Step 2: Convert to fraction form
206,116.98/284,376.87 = 115,460.70/x - Step 3: Cross multiply
206,116.98x = 284,376.87 × 115,460.70 - Step 4: Simplify right side
206,116.98x = 32,834,352,474.01 - Step 5: Solve for x
x = 32,834,352,474.01/206,116.98 - Step 6: Final answer
x = 159,299.60
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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.