Finding the Fourth Proportional to 106,956,136.80, 160,434,205.20 and 99,728,539.20
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Solution
The fourth proportional to 106,956,136.80, 160,434,205.20 and 99,728,539.20 is: 149,592,808.80
Step by Step Solution
- Step 1: Write the proportion equation
106,956,136.80 : 160,434,205.20 = 99,728,539.20 : x - Step 2: Convert to fraction form
106,956,136.80/160,434,205.20 = 99,728,539.20/x - Step 3: Cross multiply
106,956,136.80x = 160,434,205.20 × 99,728,539.20 - Step 4: Simplify right side
106,956,136.80x = 15,999,868,922,309,044 - Step 5: Solve for x
x = 15,999,868,922,309,044/106,956,136.80 - Step 6: Final answer
x = 149,592,808.80
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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.