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Finding the Fourth Proportional to 81,777.79, 122,683.16 and 29,185.90

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Solution

The fourth proportional to 81,777.79, 122,683.16 and 29,185.90 is: 43,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777.79 : 122,683.16 = 29,185.90 : x
  2. Step 2: Convert to fraction form
    81,777.79/122,683.16 = 29,185.90/x
  3. Step 3: Cross multiply
    81,777.79x = 122,683.16 × 29,185.90
  4. Step 4: Simplify right side
    81,777.79x = 3,580,618,439.44
  5. Step 5: Solve for x
    x = 3,580,618,439.44/81,777.79
  6. Step 6: Final answer
    x = 43,784.73

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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.