Finding the Fourth Proportional to 189,275,202.24, 260,963,105.76 and 157,958,295.36
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Solution
The fourth proportional to 189,275,202.24, 260,963,105.76 and 157,958,295.36 is: 217,784,933.52
Step by Step Solution
- Step 1: Write the proportion equation
189,275,202.24 : 260,963,105.76 = 157,958,295.36 : x - Step 2: Convert to fraction form
189,275,202.24/260,963,105.76 = 157,958,295.36/x - Step 3: Cross multiply
189,275,202.24x = 260,963,105.76 × 157,958,295.36 - Step 4: Simplify right side
189,275,202.24x = 41,221,287,337,701,000 - Step 5: Solve for x
x = 41,221,287,337,701,000/189,275,202.24 - Step 6: Final answer
x = 217,784,933.52
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.