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Finding the Fourth Proportional to 149,714.32, 206,609.52 and 85,180

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Solution

The fourth proportional to 149,714.32, 206,609.52 and 85,180 is: 117,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,714.32 : 206,609.52 = 85,180 : x
  2. Step 2: Convert to fraction form
    149,714.32/206,609.52 = 85,180/x
  3. Step 3: Cross multiply
    149,714.32x = 206,609.52 × 85,180
  4. Step 4: Simplify right side
    149,714.32x = 17,598,998,913.60
  5. Step 5: Solve for x
    x = 17,598,998,913.60/149,714.32
  6. Step 6: Final answer
    x = 117,550.54

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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.