Finding the Fourth Proportional to 205,020.12, 282,927.50 and 115,596.12
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Solution
The fourth proportional to 205,020.12, 282,927.50 and 115,596.12 is: 159,522.50
Step by Step Solution
- Step 1: Write the proportion equation
205,020.12 : 282,927.50 = 115,596.12 : x - Step 2: Convert to fraction form
205,020.12/282,927.50 = 115,596.12/x - Step 3: Cross multiply
205,020.12x = 282,927.50 × 115,596.12 - Step 4: Simplify right side
205,020.12x = 32,705,321,241.30 - Step 5: Solve for x
x = 32,705,321,241.30/205,020.12 - Step 6: Final answer
x = 159,522.50
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1.5x scale
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.