Finding the Fourth Proportional to 207,121,202,145.34, 285,785,804,701.70 and 115,655,679,649.69
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Solution
The fourth proportional to 207,121,202,145.34, 285,785,804,701.70 and 115,655,679,649.69 is: 159,581,690,018.46
Step by Step Solution
- Step 1: Write the proportion equation
207,121,202,145.34 : 285,785,804,701.70 = 115,655,679,649.69 : x - Step 2: Convert to fraction form
207,121,202,145.34/285,785,804,701.70 = 115,655,679,649.69/x - Step 3: Cross multiply
207,121,202,145.34x = 285,785,804,701.70 × 115,655,679,649.69 - Step 4: Simplify right side
207,121,202,145.34x = 33,052,751,477,008,689,528,832 - Step 5: Solve for x
x = 33,052,751,477,008,689,528,832/207,121,202,145.34 - Step 6: Final answer
x = 159,581,690,018.46
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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.