Finding the Fourth Proportional to 189,782,479,741.92, 261,903,822,108.84 and 104,142,696,249.84
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Solution
The fourth proportional to 189,782,479,741.92, 261,903,822,108.84 and 104,142,696,249.84 is: 143,719,115,851.18
Step by Step Solution
- Step 1: Write the proportion equation
189,782,479,741.92 : 261,903,822,108.84 = 104,142,696,249.84 : x - Step 2: Convert to fraction form
189,782,479,741.92/261,903,822,108.84 = 104,142,696,249.84/x - Step 3: Cross multiply
189,782,479,741.92x = 261,903,822,108.84 × 104,142,696,249.84 - Step 4: Simplify right side
189,782,479,741.92x = 27,275,370,192,553,052,733,440 - Step 5: Solve for x
x = 27,275,370,192,553,052,733,440/189,782,479,741.92 - Step 6: Final answer
x = 143,719,115,851.18
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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.