Finding the Fourth Proportional to 205,557.84, 283,683.06 and 114,914.16
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Solution
The fourth proportional to 205,557.84, 283,683.06 and 114,914.16 is: 158,588.94
Step by Step Solution
- Step 1: Write the proportion equation
205,557.84 : 283,683.06 = 114,914.16 : x - Step 2: Convert to fraction form
205,557.84/283,683.06 = 114,914.16/x - Step 3: Cross multiply
205,557.84x = 283,683.06 × 114,914.16 - Step 4: Simplify right side
205,557.84x = 32,599,200,546.13 - Step 5: Solve for x
x = 32,599,200,546.13/205,557.84 - Step 6: Final answer
x = 158,588.94
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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.