Finding the Fourth Proportional to 205,087,824.27, 283,003,238.11 and 115,774,846.26
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Solution
The fourth proportional to 205,087,824.27, 283,003,238.11 and 115,774,846.26 is: 159,759,149.53
Step by Step Solution
- Step 1: Write the proportion equation
205,087,824.27 : 283,003,238.11 = 115,774,846.26 : x - Step 2: Convert to fraction form
205,087,824.27/283,003,238.11 = 115,774,846.26/x - Step 3: Cross multiply
205,087,824.27x = 283,003,238.11 × 115,774,846.26 - Step 4: Simplify right side
205,087,824.27x = 32,764,656,384,847,096 - Step 5: Solve for x
x = 32,764,656,384,847,096/205,087,824.27 - Step 6: Final answer
x = 159,759,149.53
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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.