Finding the Fourth Proportional to 205,343.81, 283,371.44 and 114,701.03
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Solution
The fourth proportional to 205,343.81, 283,371.44 and 114,701.03 is: 158,285.73
Step by Step Solution
- Step 1: Write the proportion equation
205,343.81 : 283,371.44 = 114,701.03 : x - Step 2: Convert to fraction form
205,343.81/283,371.44 = 114,701.03/x - Step 3: Cross multiply
205,343.81x = 283,371.44 × 114,701.03 - Step 4: Simplify right side
205,343.81x = 32,502,994,050.22 - Step 5: Solve for x
x = 32,502,994,050.22/205,343.81 - Step 6: Final answer
x = 158,285.73
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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.