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Finding the Fourth Proportional to 123,601.92, 185,400.96 and 49,728

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Solution

The fourth proportional to 123,601.92, 185,400.96 and 49,728 is: 74,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,601.92 : 185,400.96 = 49,728 : x
  2. Step 2: Convert to fraction form
    123,601.92/185,400.96 = 49,728/x
  3. Step 3: Cross multiply
    123,601.92x = 185,400.96 × 49,728
  4. Step 4: Simplify right side
    123,601.92x = 9,219,618,938.88
  5. Step 5: Solve for x
    x = 9,219,618,938.88/123,601.92
  6. Step 6: Final answer
    x = 74,591.23

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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.