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Finding the Fourth Proportional to 120,072.66, 180,128.79 and 49,956.90

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Solution

The fourth proportional to 120,072.66, 180,128.79 and 49,956.90 is: 74,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,072.66 : 180,128.79 = 49,956.90 : x
  2. Step 2: Convert to fraction form
    120,072.66/180,128.79 = 49,956.90/x
  3. Step 3: Cross multiply
    120,072.66x = 180,128.79 × 49,956.90
  4. Step 4: Simplify right side
    120,072.66x = 8,998,675,949.15
  5. Step 5: Solve for x
    x = 8,998,675,949.15/120,072.66
  6. Step 6: Final answer
    x = 74,943.59

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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.