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Finding the Fourth Proportional to 101,629.76, 152,538.21 and 51,745.50

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Solution

The fourth proportional to 101,629.76, 152,538.21 and 51,745.50 is: 77,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,629.76 : 152,538.21 = 51,745.50 : x
  2. Step 2: Convert to fraction form
    101,629.76/152,538.21 = 51,745.50/x
  3. Step 3: Cross multiply
    101,629.76x = 152,538.21 × 51,745.50
  4. Step 4: Simplify right side
    101,629.76x = 7,893,165,945.56
  5. Step 5: Solve for x
    x = 7,893,165,945.56/101,629.76
  6. Step 6: Final answer
    x = 77,665.90

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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.