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Finding the Fourth Proportional to 81,469.30, 122,313.30 and 52,017.70

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Solution

The fourth proportional to 81,469.30, 122,313.30 and 52,017.70 is: 78,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.30 : 122,313.30 = 52,017.70 : x
  2. Step 2: Convert to fraction form
    81,469.30/122,313.30 = 52,017.70/x
  3. Step 3: Cross multiply
    81,469.30x = 122,313.30 × 52,017.70
  4. Step 4: Simplify right side
    81,469.30x = 6,362,456,545.41
  5. Step 5: Solve for x
    x = 6,362,456,545.41/81,469.30
  6. Step 6: Final answer
    x = 78,096.37

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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.