Finding the Fourth Proportional to 189,842,726,057.14, 261,983,221,391.97 and 103,035,297,118.53
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Solution
The fourth proportional to 189,842,726,057.14, 261,983,221,391.97 and 103,035,297,118.53 is: 142,188,850,828.38
Step by Step Solution
- Step 1: Write the proportion equation
189,842,726,057.14 : 261,983,221,391.97 = 103,035,297,118.53 : x - Step 2: Convert to fraction form
189,842,726,057.14/261,983,221,391.97 = 103,035,297,118.53/x - Step 3: Cross multiply
189,842,726,057.14x = 261,983,221,391.97 × 103,035,297,118.53 - Step 4: Simplify right side
189,842,726,057.14x = 26,993,519,056,191,253,118,976 - Step 5: Solve for x
x = 26,993,519,056,191,253,118,976/189,842,726,057.14 - Step 6: Final answer
x = 142,188,850,828.38
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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.