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Finding the Fourth Proportional to 81,157.20, 121,745.52 and 34,404

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Solution

The fourth proportional to 81,157.20, 121,745.52 and 34,404 is: 51,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157.20 : 121,745.52 = 34,404 : x
  2. Step 2: Convert to fraction form
    81,157.20/121,745.52 = 34,404/x
  3. Step 3: Cross multiply
    81,157.20x = 121,745.52 × 34,404
  4. Step 4: Simplify right side
    81,157.20x = 4,188,532,870.08
  5. Step 5: Solve for x
    x = 4,188,532,870.08/81,157.20
  6. Step 6: Final answer
    x = 51,610.12

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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.