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Finding the Fourth Proportional to 51,217, 70,679.46 and 27,665

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Solution

The fourth proportional to 51,217, 70,679.46 and 27,665 is: 38,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,217 : 70,679.46 = 27,665 : x
  2. Step 2: Convert to fraction form
    51,217/70,679.46 = 27,665/x
  3. Step 3: Cross multiply
    51,217x = 70,679.46 × 27,665
  4. Step 4: Simplify right side
    51,217x = 1,955,347,260.90
  5. Step 5: Solve for x
    x = 1,955,347,260.90/51,217
  6. Step 6: Final answer
    x = 38,177.70

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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.