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Finding the Fourth Proportional to 81,664.70, 122,507.99 and 29,074.64

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Solution

The fourth proportional to 81,664.70, 122,507.99 and 29,074.64 is: 43,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664.70 : 122,507.99 = 29,074.64 : x
  2. Step 2: Convert to fraction form
    81,664.70/122,507.99 = 29,074.64/x
  3. Step 3: Cross multiply
    81,664.70x = 122,507.99 × 29,074.64
  4. Step 4: Simplify right side
    81,664.70x = 3,561,875,706.37
  5. Step 5: Solve for x
    x = 3,561,875,706.37/81,664.70
  6. Step 6: Final answer
    x = 43,615.85

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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.