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Finding the Fourth Proportional to 78,012, 117,037.44 and 22,608

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Solution

The fourth proportional to 78,012, 117,037.44 and 22,608 is: 33,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,012 : 117,037.44 = 22,608 : x
  2. Step 2: Convert to fraction form
    78,012/117,037.44 = 22,608/x
  3. Step 3: Cross multiply
    78,012x = 117,037.44 × 22,608
  4. Step 4: Simplify right side
    78,012x = 2,645,982,443.52
  5. Step 5: Solve for x
    x = 2,645,982,443.52/78,012
  6. Step 6: Final answer
    x = 33,917.63

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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.