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Finding the Fourth Proportional to 231,976, 347,964 and 56,872

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Solution

The fourth proportional to 231,976, 347,964 and 56,872 is: 85,308

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,976 : 347,964 = 56,872 : x
  2. Step 2: Convert to fraction form
    231,976/347,964 = 56,872/x
  3. Step 3: Cross multiply
    231,976x = 347,964 × 56,872
  4. Step 4: Simplify right side
    231,976x = 19,789,408,608
  5. Step 5: Solve for x
    x = 19,789,408,608/231,976
  6. Step 6: Final answer
    x = 85,308

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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.