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Finding the Fourth Proportional to 78,015, 117,027.36 and 31,261.80

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Solution

The fourth proportional to 78,015, 117,027.36 and 31,261.80 is: 46,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015 : 117,027.36 = 31,261.80 : x
  2. Step 2: Convert to fraction form
    78,015/117,027.36 = 31,261.80/x
  3. Step 3: Cross multiply
    78,015x = 117,027.36 × 31,261.80
  4. Step 4: Simplify right side
    78,015x = 3,658,485,766.54
  5. Step 5: Solve for x
    x = 3,658,485,766.54/78,015
  6. Step 6: Final answer
    x = 46,894.65

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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.