Finding the Fourth Proportional to 205,371.14, 283,402.04 and 114,709.05
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Solution
The fourth proportional to 205,371.14, 283,402.04 and 114,709.05 is: 158,292.83
Step by Step Solution
- Step 1: Write the proportion equation
205,371.14 : 283,402.04 = 114,709.05 : x - Step 2: Convert to fraction form
205,371.14/283,402.04 = 114,709.05/x - Step 3: Cross multiply
205,371.14x = 283,402.04 × 114,709.05 - Step 4: Simplify right side
205,371.14x = 32,508,778,202.92 - Step 5: Solve for x
x = 32,508,778,202.92/205,371.14 - Step 6: Final answer
x = 158,292.83
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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.