Finding the Fourth Proportional to 194,695,886,517.21, 268,681,900,953.06 and 107,889,906,232.56
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Solution
The fourth proportional to 194,695,886,517.21, 268,681,900,953.06 and 107,889,906,232.56 is: 148,888,944,798.79
Step by Step Solution
- Step 1: Write the proportion equation
194,695,886,517.21 : 268,681,900,953.06 = 107,889,906,232.56 : x - Step 2: Convert to fraction form
194,695,886,517.21/268,681,900,953.06 = 107,889,906,232.56/x - Step 3: Cross multiply
194,695,886,517.21x = 268,681,900,953.06 × 107,889,906,232.56 - Step 4: Simplify right side
194,695,886,517.21x = 28,988,065,100,211,614,121,984 - Step 5: Solve for x
x = 28,988,065,100,211,614,121,984/194,695,886,517.21 - Step 6: Final answer
x = 148,888,944,798.79
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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.