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Finding the Fourth Proportional to 54,758.55, 82,138.47 and 21,494.28

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Solution

The fourth proportional to 54,758.55, 82,138.47 and 21,494.28 is: 32,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.55 : 82,138.47 = 21,494.28 : x
  2. Step 2: Convert to fraction form
    54,758.55/82,138.47 = 21,494.28/x
  3. Step 3: Cross multiply
    54,758.55x = 82,138.47 × 21,494.28
  4. Step 4: Simplify right side
    54,758.55x = 1,765,507,272.95
  5. Step 5: Solve for x
    x = 1,765,507,272.95/54,758.55
  6. Step 6: Final answer
    x = 32,241.67

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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.