Finding the Fourth Proportional to 107,316,623.20, 160,974,934.80 and 100,142,169.70
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Solution
The fourth proportional to 107,316,623.20, 160,974,934.80 and 100,142,169.70 is: 150,213,254.55
Step by Step Solution
- Step 1: Write the proportion equation
107,316,623.20 : 160,974,934.80 = 100,142,169.70 : x - Step 2: Convert to fraction form
107,316,623.20/160,974,934.80 = 100,142,169.70/x - Step 3: Cross multiply
107,316,623.20x = 160,974,934.80 × 100,142,169.70 - Step 4: Simplify right side
107,316,623.20x = 16,120,379,238,188,038 - Step 5: Solve for x
x = 16,120,379,238,188,038/107,316,623.20 - Step 6: Final answer
x = 150,213,254.55
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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.