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Finding the Fourth Proportional to 138,530.98, 207,745.44 and 49,760.65

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Solution

The fourth proportional to 138,530.98, 207,745.44 and 49,760.65 is: 74,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530.98 : 207,745.44 = 49,760.65 : x
  2. Step 2: Convert to fraction form
    138,530.98/207,745.44 = 49,760.65/x
  3. Step 3: Cross multiply
    138,530.98x = 207,745.44 × 49,760.65
  4. Step 4: Simplify right side
    138,530.98x = 10,337,548,128.94
  5. Step 5: Solve for x
    x = 10,337,548,128.94/138,530.98
  6. Step 6: Final answer
    x = 74,622.64

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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.