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Finding the Fourth Proportional to 123,728, 170,745.16 and 67,139.76

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Solution

The fourth proportional to 123,728, 170,745.16 and 67,139.76 is: 92,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,728 : 170,745.16 = 67,139.76 : x
  2. Step 2: Convert to fraction form
    123,728/170,745.16 = 67,139.76/x
  3. Step 3: Cross multiply
    123,728x = 170,745.16 × 67,139.76
  4. Step 4: Simplify right side
    123,728x = 11,463,789,063.56
  5. Step 5: Solve for x
    x = 11,463,789,063.56/123,728
  6. Step 6: Final answer
    x = 92,653.15

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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.