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Finding the Fourth Proportional to 133,422.72, 200,144.48 and 38,654.26

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Solution

The fourth proportional to 133,422.72, 200,144.48 and 38,654.26 is: 57,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,422.72 : 200,144.48 = 38,654.26 : x
  2. Step 2: Convert to fraction form
    133,422.72/200,144.48 = 38,654.26/x
  3. Step 3: Cross multiply
    133,422.72x = 200,144.48 × 38,654.26
  4. Step 4: Simplify right side
    133,422.72x = 7,736,436,767.48
  5. Step 5: Solve for x
    x = 7,736,436,767.48/133,422.72
  6. Step 6: Final answer
    x = 57,984.40

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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.