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Finding the Fourth Proportional to 149,676.80, 206,589.44 and 86,051.56

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Solution

The fourth proportional to 149,676.80, 206,589.44 and 86,051.56 is: 118,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676.80 : 206,589.44 = 86,051.56 : x
  2. Step 2: Convert to fraction form
    149,676.80/206,589.44 = 86,051.56/x
  3. Step 3: Cross multiply
    149,676.80x = 206,589.44 × 86,051.56
  4. Step 4: Simplify right side
    149,676.80x = 17,777,343,591.53
  5. Step 5: Solve for x
    x = 17,777,343,591.53/149,676.80
  6. Step 6: Final answer
    x = 118,771.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.