Finding the Fourth Proportional to 205,202.64, 283,297.44 and 156,421.68
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Solution
The fourth proportional to 205,202.64, 283,297.44 and 156,421.68 is: 215,951.71
Step by Step Solution
- Step 1: Write the proportion equation
205,202.64 : 283,297.44 = 156,421.68 : x - Step 2: Convert to fraction form
205,202.64/283,297.44 = 156,421.68/x - Step 3: Cross multiply
205,202.64x = 283,297.44 × 156,421.68 - Step 4: Simplify right side
205,202.64x = 44,313,861,504.50 - Step 5: Solve for x
x = 44,313,861,504.50/205,202.64 - Step 6: Final answer
x = 215,951.71
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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.