Finding the Fourth Proportional to 151,395,257,661.97, 208,880,098,192.65 and 87,164,330,515.05
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Solution
The fourth proportional to 151,395,257,661.97, 208,880,098,192.65 and 87,164,330,515.05 is: 120,260,662,044.86
Step by Step Solution
- Step 1: Write the proportion equation
151,395,257,661.97 : 208,880,098,192.65 = 87,164,330,515.05 : x - Step 2: Convert to fraction form
151,395,257,661.97/208,880,098,192.65 = 87,164,330,515.05/x - Step 3: Cross multiply
151,395,257,661.97x = 208,880,098,192.65 × 87,164,330,515.05 - Step 4: Simplify right side
151,395,257,661.97x = 18,206,893,916,880,243,785,728 - Step 5: Solve for x
x = 18,206,893,916,880,243,785,728/151,395,257,661.97 - Step 6: Final answer
x = 120,260,662,044.86
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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.