Finding the Fourth Proportional to 205,014,812.65, 282,920,258.67 and 115,725,551.14
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Solution
The fourth proportional to 205,014,812.65, 282,920,258.67 and 115,725,551.14 is: 159,701,157.40
Step by Step Solution
- Step 1: Write the proportion equation
205,014,812.65 : 282,920,258.67 = 115,725,551.14 : x - Step 2: Convert to fraction form
205,014,812.65/282,920,258.67 = 115,725,551.14/x - Step 3: Cross multiply
205,014,812.65x = 282,920,258.67 × 115,725,551.14 - Step 4: Simplify right side
205,014,812.65x = 32,741,102,863,176,792 - Step 5: Solve for x
x = 32,741,102,863,176,792/205,014,812.65 - Step 6: Final answer
x = 159,701,157.40
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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.