Finding the Fourth Proportional to 143,320,748,397.37, 197,787,383,107.26 and 78,218,740,317.75
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Solution
The fourth proportional to 143,320,748,397.37, 197,787,383,107.26 and 78,218,740,317.75 is: 107,944,454,172.82
Step by Step Solution
- Step 1: Write the proportion equation
143,320,748,397.37 : 197,787,383,107.26 = 78,218,740,317.75 : x - Step 2: Convert to fraction form
143,320,748,397.37/197,787,383,107.26 = 78,218,740,317.75/x - Step 3: Cross multiply
143,320,748,397.37x = 197,787,383,107.26 × 78,218,740,317.75 - Step 4: Simplify right side
143,320,748,397.37x = 15,470,679,957,394,102,943,744 - Step 5: Solve for x
x = 15,470,679,957,394,102,943,744/143,320,748,397.37 - Step 6: Final answer
x = 107,944,454,172.82
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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.