Finding the Fourth Proportional to 99,897,104,153.70, 149,854,465,861.57 and 28,187,247,173.62
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Solution
The fourth proportional to 99,897,104,153.70, 149,854,465,861.57 and 28,187,247,173.62 is: 42,283,356,510.63
Step by Step Solution
- Step 1: Write the proportion equation
99,897,104,153.70 : 149,854,465,861.57 = 28,187,247,173.62 : x - Step 2: Convert to fraction form
99,897,104,153.70/149,854,465,861.57 = 28,187,247,173.62/x - Step 3: Cross multiply
99,897,104,153.70x = 149,854,465,861.57 × 28,187,247,173.62 - Step 4: Simplify right side
99,897,104,153.70x = 4,223,984,869,310,873,993,216 - Step 5: Solve for x
x = 4,223,984,869,310,873,993,216/99,897,104,153.70 - Step 6: Final answer
x = 42,283,356,510.63
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.