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Finding the Fourth Proportional to 81,828.70, 122,743.05 and 66,276.70

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Solution

The fourth proportional to 81,828.70, 122,743.05 and 66,276.70 is: 99,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,828.70 : 122,743.05 = 66,276.70 : x
  2. Step 2: Convert to fraction form
    81,828.70/122,743.05 = 66,276.70/x
  3. Step 3: Cross multiply
    81,828.70x = 122,743.05 × 66,276.70
  4. Step 4: Simplify right side
    81,828.70x = 8,135,004,301.94
  5. Step 5: Solve for x
    x = 8,135,004,301.94/81,828.70
  6. Step 6: Final answer
    x = 99,415.05

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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.