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Finding the Fourth Proportional to 378,077.75, 567,199.67 and 111,817.51

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Solution

The fourth proportional to 378,077.75, 567,199.67 and 111,817.51 is: 167,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077.75 : 567,199.67 = 111,817.51 : x
  2. Step 2: Convert to fraction form
    378,077.75/567,199.67 = 111,817.51/x
  3. Step 3: Cross multiply
    378,077.75x = 567,199.67 × 111,817.51
  4. Step 4: Simplify right side
    378,077.75x = 63,422,854,772.22
  5. Step 5: Solve for x
    x = 63,422,854,772.22/378,077.75
  6. Step 6: Final answer
    x = 167,750.83

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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.