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Finding the Fourth Proportional to 71,745.78, 107,565.11 and 49,495.69

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Solution

The fourth proportional to 71,745.78, 107,565.11 and 49,495.69 is: 74,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,745.78 : 107,565.11 = 49,495.69 : x
  2. Step 2: Convert to fraction form
    71,745.78/107,565.11 = 49,495.69/x
  3. Step 3: Cross multiply
    71,745.78x = 107,565.11 × 49,495.69
  4. Step 4: Simplify right side
    71,745.78x = 5,324,009,339.38
  5. Step 5: Solve for x
    x = 5,324,009,339.38/71,745.78
  6. Step 6: Final answer
    x = 74,206.59

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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.