Finding the Fourth Proportional to 135,165,408.28, 202,417,432.20 and 122,064,408.88
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Solution
The fourth proportional to 135,165,408.28, 202,417,432.20 and 122,064,408.88 is: 182,797,984.51
Step by Step Solution
- Step 1: Write the proportion equation
135,165,408.28 : 202,417,432.20 = 122,064,408.88 : x - Step 2: Convert to fraction form
135,165,408.28/202,417,432.20 = 122,064,408.88/x - Step 3: Cross multiply
135,165,408.28x = 202,417,432.20 × 122,064,408.88 - Step 4: Simplify right side
135,165,408.28x = 24,707,964,208,500,476 - Step 5: Solve for x
x = 24,707,964,208,500,476/135,165,408.28 - Step 6: Final answer
x = 182,797,984.51
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.