Finding the Fourth Proportional to 205,125.12, 283,072.05 and 114,480.09
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Solution
The fourth proportional to 205,125.12, 283,072.05 and 114,480.09 is: 157,982.18
Step by Step Solution
- Step 1: Write the proportion equation
205,125.12 : 283,072.05 = 114,480.09 : x - Step 2: Convert to fraction form
205,125.12/283,072.05 = 114,480.09/x - Step 3: Cross multiply
205,125.12x = 283,072.05 × 114,480.09 - Step 4: Simplify right side
205,125.12x = 32,406,113,760.48 - Step 5: Solve for x
x = 32,406,113,760.48/205,125.12 - Step 6: Final answer
x = 157,982.18
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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.