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Finding the Fourth Proportional to 81,713.89, 112,745.28 and 47,703

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Solution

The fourth proportional to 81,713.89, 112,745.28 and 47,703 is: 65,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713.89 : 112,745.28 = 47,703 : x
  2. Step 2: Convert to fraction form
    81,713.89/112,745.28 = 47,703/x
  3. Step 3: Cross multiply
    81,713.89x = 112,745.28 × 47,703
  4. Step 4: Simplify right side
    81,713.89x = 5,378,288,091.84
  5. Step 5: Solve for x
    x = 5,378,288,091.84/81,713.89
  6. Step 6: Final answer
    x = 65,818.53

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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.