Finding the Fourth Proportional to 145,945.96, 201,400.86 and 82,282.84
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Solution
The fourth proportional to 145,945.96, 201,400.86 and 82,282.84 is: 113,547.75
Step by Step Solution
- Step 1: Write the proportion equation
145,945.96 : 201,400.86 = 82,282.84 : x - Step 2: Convert to fraction form
145,945.96/201,400.86 = 82,282.84/x - Step 3: Cross multiply
145,945.96x = 201,400.86 × 82,282.84 - Step 4: Simplify right side
145,945.96x = 16,571,834,739.24 - Step 5: Solve for x
x = 16,571,834,739.24/145,945.96 - Step 6: Final answer
x = 113,547.75
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1.5x scale
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.