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Finding the Fourth Proportional to 38,068, 57,105.60 and 13,107.04

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Solution

The fourth proportional to 38,068, 57,105.60 and 13,107.04 is: 19,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,068 : 57,105.60 = 13,107.04 : x
  2. Step 2: Convert to fraction form
    38,068/57,105.60 = 13,107.04/x
  3. Step 3: Cross multiply
    38,068x = 57,105.60 × 13,107.04
  4. Step 4: Simplify right side
    38,068x = 748,485,383.42
  5. Step 5: Solve for x
    x = 748,485,383.42/38,068
  6. Step 6: Final answer
    x = 19,661.80

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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.