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Finding the Fourth Proportional to 81,781.68, 122,698.44 and 29,190

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Solution

The fourth proportional to 81,781.68, 122,698.44 and 29,190 is: 43,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,781.68 : 122,698.44 = 29,190 : x
  2. Step 2: Convert to fraction form
    81,781.68/122,698.44 = 29,190/x
  3. Step 3: Cross multiply
    81,781.68x = 122,698.44 × 29,190
  4. Step 4: Simplify right side
    81,781.68x = 3,581,567,463.60
  5. Step 5: Solve for x
    x = 3,581,567,463.60/81,781.68
  6. Step 6: Final answer
    x = 43,794.25

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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.