Finding the Fourth Proportional to 205,739.69, 283,289.91 and 180,102.58
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Solution
The fourth proportional to 205,739.69, 283,289.91 and 180,102.58 is: 247,989.31
Step by Step Solution
- Step 1: Write the proportion equation
205,739.69 : 283,289.91 = 180,102.58 : x - Step 2: Convert to fraction form
205,739.69/283,289.91 = 180,102.58/x - Step 3: Cross multiply
205,739.69x = 283,289.91 × 180,102.58 - Step 4: Simplify right side
205,739.69x = 51,021,244,033.08 - Step 5: Solve for x
x = 51,021,244,033.08/205,739.69 - Step 6: Final answer
x = 247,989.31
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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.