Finding the Fourth Proportional to 216,392,502,412.42, 298,497,585,224.91 and 134,960,950,169.35
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Solution
The fourth proportional to 216,392,502,412.42, 298,497,585,224.91 and 134,960,950,169.35 is: 186,168,731,707.86
Step by Step Solution
- Step 1: Write the proportion equation
216,392,502,412.42 : 298,497,585,224.91 = 134,960,950,169.35 : x - Step 2: Convert to fraction form
216,392,502,412.42/298,497,585,224.91 = 134,960,950,169.35/x - Step 3: Cross multiply
216,392,502,412.42x = 298,497,585,224.91 × 134,960,950,169.35 - Step 4: Simplify right side
216,392,502,412.42x = 40,285,517,725,210,383,482,880 - Step 5: Solve for x
x = 40,285,517,725,210,383,482,880/216,392,502,412.42 - Step 6: Final answer
x = 186,168,731,707.86
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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.