Finding the Fourth Proportional to 135,686,743.81, 203,552,817.14 and 106,539,406.99
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Solution
The fourth proportional to 135,686,743.81, 203,552,817.14 and 106,539,406.99 is: 159,826,935.34
Step by Step Solution
- Step 1: Write the proportion equation
135,686,743.81 : 203,552,817.14 = 106,539,406.99 : x - Step 2: Convert to fraction form
135,686,743.81/203,552,817.14 = 106,539,406.99/x - Step 3: Cross multiply
135,686,743.81x = 203,552,817.14 × 106,539,406.99 - Step 4: Simplify right side
135,686,743.81x = 21,686,396,428,996,976 - Step 5: Solve for x
x = 21,686,396,428,996,976/135,686,743.81 - Step 6: Final answer
x = 159,826,935.34
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.