Finding the Fourth Proportional to 205,160.96, 282,783.17 and 137,153.09
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Solution
The fourth proportional to 205,160.96, 282,783.17 and 137,153.09 is: 189,044.66
Step by Step Solution
- Step 1: Write the proportion equation
205,160.96 : 282,783.17 = 137,153.09 : x - Step 2: Convert to fraction form
205,160.96/282,783.17 = 137,153.09/x - Step 3: Cross multiply
205,160.96x = 282,783.17 × 137,153.09 - Step 4: Simplify right side
205,160.96x = 38,784,583,465.81 - Step 5: Solve for x
x = 38,784,583,465.81/205,160.96 - Step 6: Final answer
x = 189,044.66
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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.