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Finding the Fourth Proportional to 238,135.89, 357,203.82 and 71,923.89

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Solution

The fourth proportional to 238,135.89, 357,203.82 and 71,923.89 is: 107,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,135.89 : 357,203.82 = 71,923.89 : x
  2. Step 2: Convert to fraction form
    238,135.89/357,203.82 = 71,923.89/x
  3. Step 3: Cross multiply
    238,135.89x = 357,203.82 × 71,923.89
  4. Step 4: Simplify right side
    238,135.89x = 25,691,488,257.26
  5. Step 5: Solve for x
    x = 25,691,488,257.26/238,135.89
  6. Step 6: Final answer
    x = 107,885.83

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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.