Finding the Fourth Proportional to 105,409,156.16, 145,443,963.66 and 66,228,231.74
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Solution
The fourth proportional to 105,409,156.16, 145,443,963.66 and 66,228,231.74 is: 91,381,971.75
Step by Step Solution
- Step 1: Write the proportion equation
105,409,156.16 : 145,443,963.66 = 66,228,231.74 : x - Step 2: Convert to fraction form
105,409,156.16/145,443,963.66 = 66,228,231.74/x - Step 3: Cross multiply
105,409,156.16x = 145,443,963.66 × 66,228,231.74 - Step 4: Simplify right side
105,409,156.16x = 9,632,496,530,458,618 - Step 5: Solve for x
x = 9,632,496,530,458,618/105,409,156.16 - Step 6: Final answer
x = 91,381,971.75
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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.