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Finding the Fourth Proportional to 65,976, 91,046.88 and 36,167.36

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Solution

The fourth proportional to 65,976, 91,046.88 and 36,167.36 is: 49,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976 : 91,046.88 = 36,167.36 : x
  2. Step 2: Convert to fraction form
    65,976/91,046.88 = 36,167.36/x
  3. Step 3: Cross multiply
    65,976x = 91,046.88 × 36,167.36
  4. Step 4: Simplify right side
    65,976x = 3,292,925,285.84
  5. Step 5: Solve for x
    x = 3,292,925,285.84/65,976
  6. Step 6: Final answer
    x = 49,910.96

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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.