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Finding the Fourth Proportional to 76,864, 106,072.32 and 41,536

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Solution

The fourth proportional to 76,864, 106,072.32 and 41,536 is: 57,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,864 : 106,072.32 = 41,536 : x
  2. Step 2: Convert to fraction form
    76,864/106,072.32 = 41,536/x
  3. Step 3: Cross multiply
    76,864x = 106,072.32 × 41,536
  4. Step 4: Simplify right side
    76,864x = 4,405,819,883.52
  5. Step 5: Solve for x
    x = 4,405,819,883.52/76,864
  6. Step 6: Final answer
    x = 57,319.68

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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.