Finding the Fourth Proportional to 142,314,169.68, 196,393,722.16 and 77,124,073.68
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Solution
The fourth proportional to 142,314,169.68, 196,393,722.16 and 77,124,073.68 is: 106,431,312.72
Step by Step Solution
- Step 1: Write the proportion equation
142,314,169.68 : 196,393,722.16 = 77,124,073.68 : x - Step 2: Convert to fraction form
142,314,169.68/196,393,722.16 = 77,124,073.68/x - Step 3: Cross multiply
142,314,169.68x = 196,393,722.16 × 77,124,073.68 - Step 4: Simplify right side
142,314,169.68x = 15,146,683,898,157,290 - Step 5: Solve for x
x = 15,146,683,898,157,290/142,314,169.68 - Step 6: Final answer
x = 106,431,312.72
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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.