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Finding the Fourth Proportional to 281,202.60, 421,840.90 and 103,834.20

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Solution

The fourth proportional to 281,202.60, 421,840.90 and 103,834.20 is: 155,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,202.60 : 421,840.90 = 103,834.20 : x
  2. Step 2: Convert to fraction form
    281,202.60/421,840.90 = 103,834.20/x
  3. Step 3: Cross multiply
    281,202.60x = 421,840.90 × 103,834.20
  4. Step 4: Simplify right side
    281,202.60x = 43,801,512,378.78
  5. Step 5: Solve for x
    x = 43,801,512,378.78/281,202.60
  6. Step 6: Final answer
    x = 155,764.96

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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.