Finding the Fourth Proportional to 205,110.70, 283,052.16 and 114,465.70
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Solution
The fourth proportional to 205,110.70, 283,052.16 and 114,465.70 is: 157,962.33
Step by Step Solution
- Step 1: Write the proportion equation
205,110.70 : 283,052.16 = 114,465.70 : x - Step 2: Convert to fraction form
205,110.70/283,052.16 = 114,465.70/x - Step 3: Cross multiply
205,110.70x = 283,052.16 × 114,465.70 - Step 4: Simplify right side
205,110.70x = 32,399,763,630.91 - Step 5: Solve for x
x = 32,399,763,630.91/205,110.70 - Step 6: Final answer
x = 157,962.33
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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.