Finding the Fourth Proportional to 205,146,142,814.65, 283,101,703,918.93 and 113,700,597,396.79
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Solution
The fourth proportional to 205,146,142,814.65, 283,101,703,918.93 and 113,700,597,396.79 is: 156,906,839,280.49
Step by Step Solution
- Step 1: Write the proportion equation
205,146,142,814.65 : 283,101,703,918.93 = 113,700,597,396.79 : x - Step 2: Convert to fraction form
205,146,142,814.65/283,101,703,918.93 = 113,700,597,396.79/x - Step 3: Cross multiply
205,146,142,814.65x = 283,101,703,918.93 × 113,700,597,396.79 - Step 4: Simplify right side
205,146,142,814.65x = 32,188,832,859,631,504,064,512 - Step 5: Solve for x
x = 32,188,832,859,631,504,064,512/205,146,142,814.65 - Step 6: Final answer
x = 156,906,839,280.49
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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.