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Finding the Fourth Proportional to 54,765.56, 75,576.40 and 29,615

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Solution

The fourth proportional to 54,765.56, 75,576.40 and 29,615 is: 40,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,765.56 : 75,576.40 = 29,615 : x
  2. Step 2: Convert to fraction form
    54,765.56/75,576.40 = 29,615/x
  3. Step 3: Cross multiply
    54,765.56x = 75,576.40 × 29,615
  4. Step 4: Simplify right side
    54,765.56x = 2,238,195,086
  5. Step 5: Solve for x
    x = 2,238,195,086/54,765.56
  6. Step 6: Final answer
    x = 40,868.66

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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.