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Finding the Fourth Proportional to 149,676.80, 206,589.48 and 86,051.60

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Solution

The fourth proportional to 149,676.80, 206,589.48 and 86,051.60 is: 118,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,676.80 : 206,589.48 = 86,051.60 : x
  2. Step 2: Convert to fraction form
    149,676.80/206,589.48 = 86,051.60/x
  3. Step 3: Cross multiply
    149,676.80x = 206,589.48 × 86,051.60
  4. Step 4: Simplify right side
    149,676.80x = 17,777,355,297.17
  5. Step 5: Solve for x
    x = 17,777,355,297.17/149,676.80
  6. Step 6: Final answer
    x = 118,771.62

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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.