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Finding the Fourth Proportional to 81,861.68, 122,818.44 and 29,270

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Solution

The fourth proportional to 81,861.68, 122,818.44 and 29,270 is: 43,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.68 : 122,818.44 = 29,270 : x
  2. Step 2: Convert to fraction form
    81,861.68/122,818.44 = 29,270/x
  3. Step 3: Cross multiply
    81,861.68x = 122,818.44 × 29,270
  4. Step 4: Simplify right side
    81,861.68x = 3,594,895,738.80
  5. Step 5: Solve for x
    x = 3,594,895,738.80/81,861.68
  6. Step 6: Final answer
    x = 43,914.27

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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.