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Finding the Fourth Proportional to 65,980, 91,053.48 and 36,172

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Solution

The fourth proportional to 65,980, 91,053.48 and 36,172 is: 49,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,980 : 91,053.48 = 36,172 : x
  2. Step 2: Convert to fraction form
    65,980/91,053.48 = 36,172/x
  3. Step 3: Cross multiply
    65,980x = 91,053.48 × 36,172
  4. Step 4: Simplify right side
    65,980x = 3,293,586,478.56
  5. Step 5: Solve for x
    x = 3,293,586,478.56/65,980
  6. Step 6: Final answer
    x = 49,917.95

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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.