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Finding the Fourth Proportional to 69,876, 96,434.64 and 40,073.76

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Solution

The fourth proportional to 69,876, 96,434.64 and 40,073.76 is: 55,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876 : 96,434.64 = 40,073.76 : x
  2. Step 2: Convert to fraction form
    69,876/96,434.64 = 40,073.76/x
  3. Step 3: Cross multiply
    69,876x = 96,434.64 × 40,073.76
  4. Step 4: Simplify right side
    69,876x = 3,864,498,619.05
  5. Step 5: Solve for x
    x = 3,864,498,619.05/69,876
  6. Step 6: Final answer
    x = 55,305.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.