Finding the Fourth Proportional to 136,113,781,750.53, 187,921,789,759.55 and 86,646,324,137.75
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Solution
The fourth proportional to 136,113,781,750.53, 187,921,789,759.55 and 86,646,324,137.75 is: 119,625,890,182.78
Step by Step Solution
- Step 1: Write the proportion equation
136,113,781,750.53 : 187,921,789,759.55 = 86,646,324,137.75 : x - Step 2: Convert to fraction form
136,113,781,750.53/187,921,789,759.55 = 86,646,324,137.75/x - Step 3: Cross multiply
136,113,781,750.53x = 187,921,789,759.55 × 86,646,324,137.75 - Step 4: Simplify right side
136,113,781,750.53x = 16,282,732,308,051,135,561,728 - Step 5: Solve for x
x = 16,282,732,308,051,135,561,728/136,113,781,750.53 - Step 6: Final answer
x = 119,625,890,182.78
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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.