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Finding the Fourth Proportional to 78,481.44, 117,727.92 and 31,733.28

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Solution

The fourth proportional to 78,481.44, 117,727.92 and 31,733.28 is: 47,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.44 : 117,727.92 = 31,733.28 : x
  2. Step 2: Convert to fraction form
    78,481.44/117,727.92 = 31,733.28/x
  3. Step 3: Cross multiply
    78,481.44x = 117,727.92 × 31,733.28
  4. Step 4: Simplify right side
    78,481.44x = 3,735,893,049.18
  5. Step 5: Solve for x
    x = 3,735,893,049.18/78,481.44
  6. Step 6: Final answer
    x = 47,602.25

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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.