Finding the Fourth Proportional to 146,416,724.42, 201,871,235.85 and 107,190,400.20
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Solution
The fourth proportional to 146,416,724.42, 201,871,235.85 and 107,190,400.20 is: 147,788,161.81
Step by Step Solution
- Step 1: Write the proportion equation
146,416,724.42 : 201,871,235.85 = 107,190,400.20 : x - Step 2: Convert to fraction form
146,416,724.42/201,871,235.85 = 107,190,400.20/x - Step 3: Cross multiply
146,416,724.42x = 201,871,235.85 × 107,190,400.20 - Step 4: Simplify right side
146,416,724.42x = 21,638,658,559,630,088 - Step 5: Solve for x
x = 21,638,658,559,630,088/146,416,724.42 - Step 6: Final answer
x = 147,788,161.81
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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.