Finding the Fourth Proportional to 150,270.75, 207,373.64 and 83,207.07
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Solution
The fourth proportional to 150,270.75, 207,373.64 and 83,207.07 is: 114,825.76
Step by Step Solution
- Step 1: Write the proportion equation
150,270.75 : 207,373.64 = 83,207.07 : x - Step 2: Convert to fraction form
150,270.75/207,373.64 = 83,207.07/x - Step 3: Cross multiply
150,270.75x = 207,373.64 × 83,207.07 - Step 4: Simplify right side
150,270.75x = 17,254,952,563.60 - Step 5: Solve for x
x = 17,254,952,563.60/150,270.75 - Step 6: Final answer
x = 114,825.76
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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.