Finding the Fourth Proportional to 2,142,231,165.87, 2,956,116,768.93 and 1,202,252,267.31
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Solution
The fourth proportional to 2,142,231,165.87, 2,956,116,768.93 and 1,202,252,267.31 is: 1,659,017,077.38
Step by Step Solution
- Step 1: Write the proportion equation
2,142,231,165.87 : 2,956,116,768.93 = 1,202,252,267.31 : x - Step 2: Convert to fraction form
2,142,231,165.87/2,956,116,768.93 = 1,202,252,267.31/x - Step 3: Cross multiply
2,142,231,165.87x = 2,956,116,768.93 × 1,202,252,267.31 - Step 4: Simplify right side
2,142,231,165.87x = 3,553,998,087,879,203,328 - Step 5: Solve for x
x = 3,553,998,087,879,203,328/2,142,231,165.87 - Step 6: Final answer
x = 1,659,017,077.38
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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.