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Finding the Fourth Proportional to 76,817, 106,007.52 and 41,489

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Solution

The fourth proportional to 76,817, 106,007.52 and 41,489 is: 57,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817 : 106,007.52 = 41,489 : x
  2. Step 2: Convert to fraction form
    76,817/106,007.52 = 41,489/x
  3. Step 3: Cross multiply
    76,817x = 106,007.52 × 41,489
  4. Step 4: Simplify right side
    76,817x = 4,398,145,997.28
  5. Step 5: Solve for x
    x = 4,398,145,997.28/76,817
  6. Step 6: Final answer
    x = 57,254.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.