Finding the Fourth Proportional to 205,768.62, 283,971.74 and 115,119.18
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Solution
The fourth proportional to 205,768.62, 283,971.74 and 115,119.18 is: 158,870.64
Step by Step Solution
- Step 1: Write the proportion equation
205,768.62 : 283,971.74 = 115,119.18 : x - Step 2: Convert to fraction form
205,768.62/283,971.74 = 115,119.18/x - Step 3: Cross multiply
205,768.62x = 283,971.74 × 115,119.18 - Step 4: Simplify right side
205,768.62x = 32,690,593,276.38 - Step 5: Solve for x
x = 32,690,593,276.38/205,768.62 - Step 6: Final answer
x = 158,870.64
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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.