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Finding the Fourth Proportional to 81,469.32, 122,224.32 and 57,500.40

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Solution

The fourth proportional to 81,469.32, 122,224.32 and 57,500.40 is: 86,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.32 : 122,224.32 = 57,500.40 : x
  2. Step 2: Convert to fraction form
    81,469.32/122,224.32 = 57,500.40/x
  3. Step 3: Cross multiply
    81,469.32x = 122,224.32 × 57,500.40
  4. Step 4: Simplify right side
    81,469.32x = 7,027,947,289.73
  5. Step 5: Solve for x
    x = 7,027,947,289.73/81,469.32
  6. Step 6: Final answer
    x = 86,264.96

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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.