Finding the Fourth Proportional to 157,715,596,588.41, 217,647,714,609.81 and 85,457,605,548.96
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Solution
The fourth proportional to 157,715,596,588.41, 217,647,714,609.81 and 85,457,605,548.96 is: 117,931,599,322.40
Step by Step Solution
- Step 1: Write the proportion equation
157,715,596,588.41 : 217,647,714,609.81 = 85,457,605,548.96 : x - Step 2: Convert to fraction form
157,715,596,588.41/217,647,714,609.81 = 85,457,605,548.96/x - Step 3: Cross multiply
157,715,596,588.41x = 217,647,714,609.81 × 85,457,605,548.96 - Step 4: Simplify right side
157,715,596,588.41x = 18,599,652,543,757,763,477,504 - Step 5: Solve for x
x = 18,599,652,543,757,763,477,504/157,715,596,588.41 - Step 6: Final answer
x = 117,931,599,322.40
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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.