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Finding the Fourth Proportional to 85,717, 128,658.64 and 41,375

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Solution

The fourth proportional to 85,717, 128,658.64 and 41,375 is: 62,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,717 : 128,658.64 = 41,375 : x
  2. Step 2: Convert to fraction form
    85,717/128,658.64 = 41,375/x
  3. Step 3: Cross multiply
    85,717x = 128,658.64 × 41,375
  4. Step 4: Simplify right side
    85,717x = 5,323,251,230
  5. Step 5: Solve for x
    x = 5,323,251,230/85,717
  6. Step 6: Final answer
    x = 62,102.63

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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.