Finding the Fourth Proportional to 151,013,318,482.67, 208,670,981,272.40 and 107,534,118,637.02
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Solution
The fourth proportional to 151,013,318,482.67, 208,670,981,272.40 and 107,534,118,637.02 is: 148,591,198,986.36
Step by Step Solution
- Step 1: Write the proportion equation
151,013,318,482.67 : 208,670,981,272.40 = 107,534,118,637.02 : x - Step 2: Convert to fraction form
151,013,318,482.67/208,670,981,272.40 = 107,534,118,637.02/x - Step 3: Cross multiply
151,013,318,482.67x = 208,670,981,272.40 × 107,534,118,637.02 - Step 4: Simplify right side
151,013,318,482.67x = 22,439,250,056,249,641,795,584 - Step 5: Solve for x
x = 22,439,250,056,249,641,795,584/151,013,318,482.67 - Step 6: Final answer
x = 148,591,198,986.36
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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.