Finding the Fourth Proportional to 70,694,782.66, 106,041,106.86 and 31,805,772.49
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Solution
The fourth proportional to 70,694,782.66, 106,041,106.86 and 31,805,772.49 is: 47,708,178.63
Step by Step Solution
- Step 1: Write the proportion equation
70,694,782.66 : 106,041,106.86 = 31,805,772.49 : x - Step 2: Convert to fraction form
70,694,782.66/106,041,106.86 = 31,805,772.49/x - Step 3: Cross multiply
70,694,782.66x = 106,041,106.86 × 31,805,772.49 - Step 4: Simplify right side
70,694,782.66x = 3,372,719,319,376,938 - Step 5: Solve for x
x = 3,372,719,319,376,938/70,694,782.66 - Step 6: Final answer
x = 47,708,178.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.