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Finding the Fourth Proportional to 100,383.84, 138,513.96 and 57,934.44

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Solution

The fourth proportional to 100,383.84, 138,513.96 and 57,934.44 is: 79,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,383.84 : 138,513.96 = 57,934.44 : x
  2. Step 2: Convert to fraction form
    100,383.84/138,513.96 = 57,934.44/x
  3. Step 3: Cross multiply
    100,383.84x = 138,513.96 × 57,934.44
  4. Step 4: Simplify right side
    100,383.84x = 8,024,728,704.78
  5. Step 5: Solve for x
    x = 8,024,728,704.78/100,383.84
  6. Step 6: Final answer
    x = 79,940.44

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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.