Finding the Fourth Proportional to 157,132,815,412.62, 216,843,372,257.67 and 84,874,879,888.14
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Solution
The fourth proportional to 157,132,815,412.62, 216,843,372,257.67 and 84,874,879,888.14 is: 117,127,381,232.11
Step by Step Solution
- Step 1: Write the proportion equation
157,132,815,412.62 : 216,843,372,257.67 = 84,874,879,888.14 : x - Step 2: Convert to fraction form
157,132,815,412.62/216,843,372,257.67 = 84,874,879,888.14/x - Step 3: Cross multiply
157,132,815,412.62x = 216,843,372,257.67 × 84,874,879,888.14 - Step 4: Simplify right side
157,132,815,412.62x = 18,404,555,174,908,971,188,224 - Step 5: Solve for x
x = 18,404,555,174,908,971,188,224/157,132,815,412.62 - Step 6: Final answer
x = 117,127,381,232.11
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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.