Finding the Fourth Proportional to 205,737.78, 283,918.55 and 115,095.26
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Solution
The fourth proportional to 205,737.78, 283,918.55 and 115,095.26 is: 158,831.69
Step by Step Solution
- Step 1: Write the proportion equation
205,737.78 : 283,918.55 = 115,095.26 : x - Step 2: Convert to fraction form
205,737.78/283,918.55 = 115,095.26/x - Step 3: Cross multiply
205,737.78x = 283,918.55 × 115,095.26 - Step 4: Simplify right side
205,737.78x = 32,677,679,771.08 - Step 5: Solve for x
x = 32,677,679,771.08/205,737.78 - Step 6: Final answer
x = 158,831.69
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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.