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Finding the Fourth Proportional to 138,775.89, 208,171.20 and 44,013.54

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Solution

The fourth proportional to 138,775.89, 208,171.20 and 44,013.54 is: 66,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,775.89 : 208,171.20 = 44,013.54 : x
  2. Step 2: Convert to fraction form
    138,775.89/208,171.20 = 44,013.54/x
  3. Step 3: Cross multiply
    138,775.89x = 208,171.20 × 44,013.54
  4. Step 4: Simplify right side
    138,775.89x = 9,162,351,438.05
  5. Step 5: Solve for x
    x = 9,162,351,438.05/138,775.89
  6. Step 6: Final answer
    x = 66,022.65

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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.