Finding the Fourth Proportional to 205,382.95, 283,024.70 and 157,039.62
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Solution
The fourth proportional to 205,382.95, 283,024.70 and 157,039.62 is: 216,405.94
Step by Step Solution
- Step 1: Write the proportion equation
205,382.95 : 283,024.70 = 157,039.62 : x - Step 2: Convert to fraction form
205,382.95/283,024.70 = 157,039.62/x - Step 3: Cross multiply
205,382.95x = 283,024.70 × 157,039.62 - Step 4: Simplify right side
205,382.95x = 44,446,091,338.61 - Step 5: Solve for x
x = 44,446,091,338.61/205,382.95 - Step 6: Final answer
x = 216,405.94
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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.