Finding the Fourth Proportional to 213,016,539,781.36, 293,962,983,381.84 and 115,358,938,793.92
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Solution
The fourth proportional to 213,016,539,781.36, 293,962,983,381.84 and 115,358,938,793.92 is: 159,195,421,362.26
Step by Step Solution
- Step 1: Write the proportion equation
213,016,539,781.36 : 293,962,983,381.84 = 115,358,938,793.92 : x - Step 2: Convert to fraction form
213,016,539,781.36/293,962,983,381.84 = 115,358,938,793.92/x - Step 3: Cross multiply
213,016,539,781.36x = 293,962,983,381.84 × 115,358,938,793.92 - Step 4: Simplify right side
213,016,539,781.36x = 33,911,257,807,623,804,682,240 - Step 5: Solve for x
x = 33,911,257,807,623,804,682,240/213,016,539,781.36 - Step 6: Final answer
x = 159,195,421,362.26
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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.