Finding the Fourth Proportional to 205,121,246.82, 283,067,190.68 and 112,301,730.06
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Solution
The fourth proportional to 205,121,246.82, 283,067,190.68 and 112,301,730.06 is: 154,976,316.35
Step by Step Solution
- Step 1: Write the proportion equation
205,121,246.82 : 283,067,190.68 = 112,301,730.06 : x - Step 2: Convert to fraction form
205,121,246.82/283,067,190.68 = 112,301,730.06/x - Step 3: Cross multiply
205,121,246.82x = 283,067,190.68 × 112,301,730.06 - Step 4: Simplify right side
205,121,246.82x = 31,788,935,236,587,908 - Step 5: Solve for x
x = 31,788,935,236,587,908/205,121,246.82 - Step 6: Final answer
x = 154,976,316.35
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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.