Finding the Fourth Proportional to 201,916,923.78, 278,665,027.20 and 119,437,280.58
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Solution
The fourth proportional to 201,916,923.78, 278,665,027.20 and 119,437,280.58 is: 164,835,083.75
Step by Step Solution
- Step 1: Write the proportion equation
201,916,923.78 : 278,665,027.20 = 119,437,280.58 : x - Step 2: Convert to fraction form
201,916,923.78/278,665,027.20 = 119,437,280.58/x - Step 3: Cross multiply
201,916,923.78x = 278,665,027.20 × 119,437,280.58 - Step 4: Simplify right side
201,916,923.78x = 33,282,993,041,519,728 - Step 5: Solve for x
x = 33,282,993,041,519,728/201,916,923.78 - Step 6: Final answer
x = 164,835,083.75
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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.