Finding the Fourth Proportional to 121,278,106,768.77, 166,487,382,658.83 and 104,101,139,357.36
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Solution
The fourth proportional to 121,278,106,768.77, 166,487,382,658.83 and 104,101,139,357.36 is: 142,907,295,349.30
Step by Step Solution
- Step 1: Write the proportion equation
121,278,106,768.77 : 166,487,382,658.83 = 104,101,139,357.36 : x - Step 2: Convert to fraction form
121,278,106,768.77/166,487,382,658.83 = 104,101,139,357.36/x - Step 3: Cross multiply
121,278,106,768.77x = 166,487,382,658.83 × 104,101,139,357.36 - Step 4: Simplify right side
121,278,106,768.77x = 17,331,526,223,408,981,344,256 - Step 5: Solve for x
x = 17,331,526,223,408,981,344,256/121,278,106,768.77 - Step 6: Final answer
x = 142,907,295,349.30
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.