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Finding the Fourth Proportional to 72,302, 108,453 and 27,948.56

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Solution

The fourth proportional to 72,302, 108,453 and 27,948.56 is: 41,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,302 : 108,453 = 27,948.56 : x
  2. Step 2: Convert to fraction form
    72,302/108,453 = 27,948.56/x
  3. Step 3: Cross multiply
    72,302x = 108,453 × 27,948.56
  4. Step 4: Simplify right side
    72,302x = 3,031,105,177.68
  5. Step 5: Solve for x
    x = 3,031,105,177.68/72,302
  6. Step 6: Final answer
    x = 41,922.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.