Finding the Fourth Proportional to 190,780,612,379.22, 263,277,246,562.99 and 105,141,579,089.26
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Solution
The fourth proportional to 190,780,612,379.22, 263,277,246,562.99 and 105,141,579,089.26 is: 145,095,379,958.64
Step by Step Solution
- Step 1: Write the proportion equation
190,780,612,379.22 : 263,277,246,562.99 = 105,141,579,089.26 : x - Step 2: Convert to fraction form
190,780,612,379.22/263,277,246,562.99 = 105,141,579,089.26/x - Step 3: Cross multiply
190,780,612,379.22x = 263,277,246,562.99 × 105,141,579,089.26 - Step 4: Simplify right side
190,780,612,379.22x = 27,681,385,441,905,214,488,576 - Step 5: Solve for x
x = 27,681,385,441,905,214,488,576/190,780,612,379.22 - Step 6: Final answer
x = 145,095,379,958.64
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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.