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Finding the Fourth Proportional to 69,308.38, 103,876.44 and 31,828.69

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Solution

The fourth proportional to 69,308.38, 103,876.44 and 31,828.69 is: 47,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,308.38 : 103,876.44 = 31,828.69 : x
  2. Step 2: Convert to fraction form
    69,308.38/103,876.44 = 31,828.69/x
  3. Step 3: Cross multiply
    69,308.38x = 103,876.44 × 31,828.69
  4. Step 4: Simplify right side
    69,308.38x = 3,306,251,007.06
  5. Step 5: Solve for x
    x = 3,306,251,007.06/69,308.38
  6. Step 6: Final answer
    x = 47,703.48

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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.