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Finding the Fourth Proportional to 69,936, 96,512.64 and 40,128

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Solution

The fourth proportional to 69,936, 96,512.64 and 40,128 is: 55,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,936 : 96,512.64 = 40,128 : x
  2. Step 2: Convert to fraction form
    69,936/96,512.64 = 40,128/x
  3. Step 3: Cross multiply
    69,936x = 96,512.64 × 40,128
  4. Step 4: Simplify right side
    69,936x = 3,872,859,217.92
  5. Step 5: Solve for x
    x = 3,872,859,217.92/69,936
  6. Step 6: Final answer
    x = 55,377.19

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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.