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Finding the Fourth Proportional to 78,742.73, 118,163.31 and 31,995.61

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Solution

The fourth proportional to 78,742.73, 118,163.31 and 31,995.61 is: 48,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,742.73 : 118,163.31 = 31,995.61 : x
  2. Step 2: Convert to fraction form
    78,742.73/118,163.31 = 31,995.61/x
  3. Step 3: Cross multiply
    78,742.73x = 118,163.31 × 31,995.61
  4. Step 4: Simplify right side
    78,742.73x = 3,780,706,767.68
  5. Step 5: Solve for x
    x = 3,780,706,767.68/78,742.73
  6. Step 6: Final answer
    x = 48,013.41

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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.