Finding the Fourth Proportional to 205,438.63, 307,631.85 and 142,171.15
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Solution
The fourth proportional to 205,438.63, 307,631.85 and 142,171.15 is: 212,892.65
Step by Step Solution
- Step 1: Write the proportion equation
205,438.63 : 307,631.85 = 142,171.15 : x - Step 2: Convert to fraction form
205,438.63/307,631.85 = 142,171.15/x - Step 3: Cross multiply
205,438.63x = 307,631.85 × 142,171.15 - Step 4: Simplify right side
205,438.63x = 43,736,373,891.13 - Step 5: Solve for x
x = 43,736,373,891.13/205,438.63 - Step 6: Final answer
x = 212,892.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.