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Finding the Fourth Proportional to 69,900, 96,465.84 and 40,093.92

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Solution

The fourth proportional to 69,900, 96,465.84 and 40,093.92 is: 55,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,900 : 96,465.84 = 40,093.92 : x
  2. Step 2: Convert to fraction form
    69,900/96,465.84 = 40,093.92/x
  3. Step 3: Cross multiply
    69,900x = 96,465.84 × 40,093.92
  4. Step 4: Simplify right side
    69,900x = 3,867,693,671.69
  5. Step 5: Solve for x
    x = 3,867,693,671.69/69,900
  6. Step 6: Final answer
    x = 55,331.81

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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.