Finding the Fourth Proportional to 171,297,678,862.04, 236,397,176,499.12 and 102,720,257,039.12
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Solution
The fourth proportional to 171,297,678,862.04, 236,397,176,499.12 and 102,720,257,039.12 is: 141,757,780,342.54
Step by Step Solution
- Step 1: Write the proportion equation
171,297,678,862.04 : 236,397,176,499.12 = 102,720,257,039.12 : x - Step 2: Convert to fraction form
171,297,678,862.04/236,397,176,499.12 = 102,720,257,039.12/x - Step 3: Cross multiply
171,297,678,862.04x = 236,397,176,499.12 × 102,720,257,039.12 - Step 4: Simplify right side
171,297,678,862.04x = 24,282,778,733,311,820,824,576 - Step 5: Solve for x
x = 24,282,778,733,311,820,824,576/171,297,678,862.04 - Step 6: Final answer
x = 141,757,780,342.54
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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.