Finding the Fourth Proportional to 200,115,750.22, 300,225,378.39 and 117,187,537.66
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Solution
The fourth proportional to 200,115,750.22, 300,225,378.39 and 117,187,537.66 is: 175,811,613.02
Step by Step Solution
- Step 1: Write the proportion equation
200,115,750.22 : 300,225,378.39 = 117,187,537.66 : x - Step 2: Convert to fraction form
200,115,750.22/300,225,378.39 = 117,187,537.66/x - Step 3: Cross multiply
200,115,750.22x = 300,225,378.39 × 117,187,537.66 - Step 4: Simplify right side
200,115,750.22x = 35,182,672,836,565,872 - Step 5: Solve for x
x = 35,182,672,836,565,872/200,115,750.22 - Step 6: Final answer
x = 175,811,613.02
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.