Finding the Fourth Proportional to 125,962,037,099, 189,077,512,950.78 and 54,286,923,152.09
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Solution
The fourth proportional to 125,962,037,099, 189,077,512,950.78 and 54,286,923,152.09 is: 81,488,332,927.48
Step by Step Solution
- Step 1: Write the proportion equation
125,962,037,099 : 189,077,512,950.78 = 54,286,923,152.09 : x - Step 2: Convert to fraction form
125,962,037,099/189,077,512,950.78 = 54,286,923,152.09/x - Step 3: Cross multiply
125,962,037,099x = 189,077,512,950.78 × 54,286,923,152.09 - Step 4: Simplify right side
125,962,037,099x = 10,264,436,415,347,294,208,000 - Step 5: Solve for x
x = 10,264,436,415,347,294,208,000/125,962,037,099 - Step 6: Final answer
x = 81,488,332,927.48
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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.