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Finding the Fourth Proportional to 120,428.43, 180,662.94 and 44,531.43

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Solution

The fourth proportional to 120,428.43, 180,662.94 and 44,531.43 is: 66,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428.43 : 180,662.94 = 44,531.43 : x
  2. Step 2: Convert to fraction form
    120,428.43/180,662.94 = 44,531.43/x
  3. Step 3: Cross multiply
    120,428.43x = 180,662.94 × 44,531.43
  4. Step 4: Simplify right side
    120,428.43x = 8,045,179,066.20
  5. Step 5: Solve for x
    x = 8,045,179,066.20/120,428.43
  6. Step 6: Final answer
    x = 66,804.65

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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.