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Finding the Fourth Proportional to 81,532.70, 122,299.05 and 68,410.70

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Solution

The fourth proportional to 81,532.70, 122,299.05 and 68,410.70 is: 102,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,532.70 : 122,299.05 = 68,410.70 : x
  2. Step 2: Convert to fraction form
    81,532.70/122,299.05 = 68,410.70/x
  3. Step 3: Cross multiply
    81,532.70x = 122,299.05 × 68,410.70
  4. Step 4: Simplify right side
    81,532.70x = 8,366,563,619.84
  5. Step 5: Solve for x
    x = 8,366,563,619.84/81,532.70
  6. Step 6: Final answer
    x = 102,616.05

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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.