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Finding the Fourth Proportional to 51,615, 71,229.78 and 29,259

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Solution

The fourth proportional to 51,615, 71,229.78 and 29,259 is: 40,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,615 : 71,229.78 = 29,259 : x
  2. Step 2: Convert to fraction form
    51,615/71,229.78 = 29,259/x
  3. Step 3: Cross multiply
    51,615x = 71,229.78 × 29,259
  4. Step 4: Simplify right side
    51,615x = 2,084,112,133.02
  5. Step 5: Solve for x
    x = 2,084,112,133.02/51,615
  6. Step 6: Final answer
    x = 40,378.03

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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.