Finding the Fourth Proportional to 189,839,829.44, 261,989,136.68 and 106,202,970.74
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Solution
The fourth proportional to 189,839,829.44, 261,989,136.68 and 106,202,970.74 is: 146,565,790.22
Step by Step Solution
- Step 1: Write the proportion equation
189,839,829.44 : 261,989,136.68 = 106,202,970.74 : x - Step 2: Convert to fraction form
189,839,829.44/261,989,136.68 = 106,202,970.74/x - Step 3: Cross multiply
189,839,829.44x = 261,989,136.68 × 106,202,970.74 - Step 4: Simplify right side
189,839,829.44x = 27,824,024,617,023,900 - Step 5: Solve for x
x = 27,824,024,617,023,900/189,839,829.44 - Step 6: Final answer
x = 146,565,790.22
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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.