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Finding the Fourth Proportional to 178,782.75, 268,169.97 and 90,012.42

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Solution

The fourth proportional to 178,782.75, 268,169.97 and 90,012.42 is: 135,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,782.75 : 268,169.97 = 90,012.42 : x
  2. Step 2: Convert to fraction form
    178,782.75/268,169.97 = 90,012.42/x
  3. Step 3: Cross multiply
    178,782.75x = 268,169.97 × 90,012.42
  4. Step 4: Simplify right side
    178,782.75x = 24,138,627,971.03
  5. Step 5: Solve for x
    x = 24,138,627,971.03/178,782.75
  6. Step 6: Final answer
    x = 135,016.54

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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.