Finding the Fourth Proportional to 205,614.24, 283,734.45 and 114,977.67
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Solution
The fourth proportional to 205,614.24, 283,734.45 and 114,977.67 is: 158,661.80
Step by Step Solution
- Step 1: Write the proportion equation
205,614.24 : 283,734.45 = 114,977.67 : x - Step 2: Convert to fraction form
205,614.24/283,734.45 = 114,977.67/x - Step 3: Cross multiply
205,614.24x = 283,734.45 × 114,977.67 - Step 4: Simplify right side
205,614.24x = 32,623,125,959.73 - Step 5: Solve for x
x = 32,623,125,959.73/205,614.24 - Step 6: Final answer
x = 158,661.80
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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.