Finding the Fourth Proportional to 205,461.98, 283,536.70 and 114,817.92
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Solution
The fourth proportional to 205,461.98, 283,536.70 and 114,817.92 is: 158,448.27
Step by Step Solution
- Step 1: Write the proportion equation
205,461.98 : 283,536.70 = 114,817.92 : x - Step 2: Convert to fraction form
205,461.98/283,536.70 = 114,817.92/x - Step 3: Cross multiply
205,461.98x = 283,536.70 × 114,817.92 - Step 4: Simplify right side
205,461.98x = 32,555,094,137.66 - Step 5: Solve for x
x = 32,555,094,137.66/205,461.98 - Step 6: Final answer
x = 158,448.27
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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.