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Finding the Fourth Proportional to 75,939.38, 113,866.41 and 31,536.26

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Solution

The fourth proportional to 75,939.38, 113,866.41 and 31,536.26 is: 47,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,939.38 : 113,866.41 = 31,536.26 : x
  2. Step 2: Convert to fraction form
    75,939.38/113,866.41 = 31,536.26/x
  3. Step 3: Cross multiply
    75,939.38x = 113,866.41 × 31,536.26
  4. Step 4: Simplify right side
    75,939.38x = 3,590,920,711.03
  5. Step 5: Solve for x
    x = 3,590,920,711.03/75,939.38
  6. Step 6: Final answer
    x = 47,286.67

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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.