Finding the Fourth Proportional to 177,148,117.40, 265,722,176.10 and 164,234,101.10
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Solution
The fourth proportional to 177,148,117.40, 265,722,176.10 and 164,234,101.10 is: 246,351,151.65
Step by Step Solution
- Step 1: Write the proportion equation
177,148,117.40 : 265,722,176.10 = 164,234,101.10 : x - Step 2: Convert to fraction form
177,148,117.40/265,722,176.10 = 164,234,101.10/x - Step 3: Cross multiply
177,148,117.40x = 265,722,176.10 × 164,234,101.10 - Step 4: Simplify right side
177,148,117.40x = 43,640,642,734,119,400 - Step 5: Solve for x
x = 43,640,642,734,119,400/177,148,117.40 - Step 6: Final answer
x = 246,351,151.65
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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.