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Finding the Fourth Proportional to 81,745.82, 112,805.60 and 47,757.46

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Solution

The fourth proportional to 81,745.82, 112,805.60 and 47,757.46 is: 65,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745.82 : 112,805.60 = 47,757.46 : x
  2. Step 2: Convert to fraction form
    81,745.82/112,805.60 = 47,757.46/x
  3. Step 3: Cross multiply
    81,745.82x = 112,805.60 × 47,757.46
  4. Step 4: Simplify right side
    81,745.82x = 5,387,308,929.78
  5. Step 5: Solve for x
    x = 5,387,308,929.78/81,745.82
  6. Step 6: Final answer
    x = 65,903.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.