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Finding the Fourth Proportional to 49,803.36, 74,708.64 and 19,829.28

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Solution

The fourth proportional to 49,803.36, 74,708.64 and 19,829.28 is: 29,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,803.36 : 74,708.64 = 19,829.28 : x
  2. Step 2: Convert to fraction form
    49,803.36/74,708.64 = 19,829.28/x
  3. Step 3: Cross multiply
    49,803.36x = 74,708.64 × 19,829.28
  4. Step 4: Simplify right side
    49,803.36x = 1,481,418,540.98
  5. Step 5: Solve for x
    x = 1,481,418,540.98/49,803.36
  6. Step 6: Final answer
    x = 29,745.35

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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.