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Finding the Fourth Proportional to 120,551.22, 180,834.36 and 31,804.82

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Solution

The fourth proportional to 120,551.22, 180,834.36 and 31,804.82 is: 47,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,551.22 : 180,834.36 = 31,804.82 : x
  2. Step 2: Convert to fraction form
    120,551.22/180,834.36 = 31,804.82/x
  3. Step 3: Cross multiply
    120,551.22x = 180,834.36 × 31,804.82
  4. Step 4: Simplify right side
    120,551.22x = 5,751,403,365.44
  5. Step 5: Solve for x
    x = 5,751,403,365.44/120,551.22
  6. Step 6: Final answer
    x = 47,709.21

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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.