Finding the Fourth Proportional to 147,198,123,342.42, 203,133,410,603.74 and 79,532,713,560.74
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Solution
The fourth proportional to 147,198,123,342.42, 203,133,410,603.74 and 79,532,713,560.74 is: 109,755,144,925.19
Step by Step Solution
- Step 1: Write the proportion equation
147,198,123,342.42 : 203,133,410,603.74 = 79,532,713,560.74 : x - Step 2: Convert to fraction form
147,198,123,342.42/203,133,410,603.74 = 79,532,713,560.74/x - Step 3: Cross multiply
147,198,123,342.42x = 203,133,410,603.74 × 79,532,713,560.74 - Step 4: Simplify right side
147,198,123,342.42x = 16,155,751,360,163,439,706,112 - Step 5: Solve for x
x = 16,155,751,360,163,439,706,112/147,198,123,342.42 - Step 6: Final answer
x = 109,755,144,925.19
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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.