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Finding the Fourth Proportional to 48,138.40, 72,231.90 and 21,826.36

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Solution

The fourth proportional to 48,138.40, 72,231.90 and 21,826.36 is: 32,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,138.40 : 72,231.90 = 21,826.36 : x
  2. Step 2: Convert to fraction form
    48,138.40/72,231.90 = 21,826.36/x
  3. Step 3: Cross multiply
    48,138.40x = 72,231.90 × 21,826.36
  4. Step 4: Simplify right side
    48,138.40x = 1,576,559,452.88
  5. Step 5: Solve for x
    x = 1,576,559,452.88/48,138.40
  6. Step 6: Final answer
    x = 32,750.56

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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.