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Finding the Fourth Proportional to 81,620.83, 122,357.43 and 29,018.01

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Solution

The fourth proportional to 81,620.83, 122,357.43 and 29,018.01 is: 43,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,620.83 : 122,357.43 = 29,018.01 : x
  2. Step 2: Convert to fraction form
    81,620.83/122,357.43 = 29,018.01/x
  3. Step 3: Cross multiply
    81,620.83x = 122,357.43 × 29,018.01
  4. Step 4: Simplify right side
    81,620.83x = 3,550,569,586.15
  5. Step 5: Solve for x
    x = 3,550,569,586.15/81,620.83
  6. Step 6: Final answer
    x = 43,500.78

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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.