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Finding the Fourth Proportional to 78,016, 117,028.86 and 31,262.80

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Solution

The fourth proportional to 78,016, 117,028.86 and 31,262.80 is: 46,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016 : 117,028.86 = 31,262.80 : x
  2. Step 2: Convert to fraction form
    78,016/117,028.86 = 31,262.80/x
  3. Step 3: Cross multiply
    78,016x = 117,028.86 × 31,262.80
  4. Step 4: Simplify right side
    78,016x = 3,658,649,844.41
  5. Step 5: Solve for x
    x = 3,658,649,844.41/78,016
  6. Step 6: Final answer
    x = 46,896.15

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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.