Finding the Fourth Proportional to 142,833,787,896.09, 197,110,659,470.35 and 78,604,512,204.66
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Solution
The fourth proportional to 142,833,787,896.09, 197,110,659,470.35 and 78,604,512,204.66 is: 108,474,244,548.34
Step by Step Solution
- Step 1: Write the proportion equation
142,833,787,896.09 : 197,110,659,470.35 = 78,604,512,204.66 : x - Step 2: Convert to fraction form
142,833,787,896.09/197,110,659,470.35 = 78,604,512,204.66/x - Step 3: Cross multiply
142,833,787,896.09x = 197,110,659,470.35 × 78,604,512,204.66 - Step 4: Simplify right side
142,833,787,896.09x = 15,493,787,238,005,708,161,024 - Step 5: Solve for x
x = 15,493,787,238,005,708,161,024/142,833,787,896.09 - Step 6: Final answer
x = 108,474,244,548.34
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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.