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Finding the Fourth Proportional to 138,163.56, 207,245.38 and 49,411.68

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Solution

The fourth proportional to 138,163.56, 207,245.38 and 49,411.68 is: 74,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163.56 : 207,245.38 = 49,411.68 : x
  2. Step 2: Convert to fraction form
    138,163.56/207,245.38 = 49,411.68/x
  3. Step 3: Cross multiply
    138,163.56x = 207,245.38 × 49,411.68
  4. Step 4: Simplify right side
    138,163.56x = 10,240,342,398.04
  5. Step 5: Solve for x
    x = 10,240,342,398.04/138,163.56
  6. Step 6: Final answer
    x = 74,117.53

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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.