Finding the Fourth Proportional to 178,146,164.20, 267,219,246.30 and 160,927,475.80
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Solution
The fourth proportional to 178,146,164.20, 267,219,246.30 and 160,927,475.80 is: 241,391,213.70
Step by Step Solution
- Step 1: Write the proportion equation
178,146,164.20 : 267,219,246.30 = 160,927,475.80 : x - Step 2: Convert to fraction form
178,146,164.20/267,219,246.30 = 160,927,475.80/x - Step 3: Cross multiply
178,146,164.20x = 267,219,246.30 × 160,927,475.80 - Step 4: Simplify right side
178,146,164.20x = 43,002,918,792,237,496 - Step 5: Solve for x
x = 43,002,918,792,237,496/178,146,164.20 - Step 6: Final answer
x = 241,391,213.70
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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.