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Finding the Fourth Proportional to 56,864, 85,296 and 15,311

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Solution

The fourth proportional to 56,864, 85,296 and 15,311 is: 22,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,864 : 85,296 = 15,311 : x
  2. Step 2: Convert to fraction form
    56,864/85,296 = 15,311/x
  3. Step 3: Cross multiply
    56,864x = 85,296 × 15,311
  4. Step 4: Simplify right side
    56,864x = 1,305,967,056
  5. Step 5: Solve for x
    x = 1,305,967,056/56,864
  6. Step 6: Final answer
    x = 22,966.50

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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.