Finding the Fourth Proportional to 202,187,992,019.92, 279,028,199,756.85 and 111,967,445,643.99
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Solution
The fourth proportional to 202,187,992,019.92, 279,028,199,756.85 and 111,967,445,643.99 is: 154,519,932,055.79
Step by Step Solution
- Step 1: Write the proportion equation
202,187,992,019.92 : 279,028,199,756.85 = 111,967,445,643.99 : x - Step 2: Convert to fraction form
202,187,992,019.92/279,028,199,756.85 = 111,967,445,643.99/x - Step 3: Cross multiply
202,187,992,019.92x = 279,028,199,756.85 × 111,967,445,643.99 - Step 4: Simplify right side
202,187,992,019.92x = 31,242,074,789,415,483,342,848 - Step 5: Solve for x
x = 31,242,074,789,415,483,342,848/202,187,992,019.92 - Step 6: Final answer
x = 154,519,932,055.79
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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.