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Finding the Fourth Proportional to 159,310.40, 238,994.40 and 80,225.60

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Solution

The fourth proportional to 159,310.40, 238,994.40 and 80,225.60 is: 120,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,310.40 : 238,994.40 = 80,225.60 : x
  2. Step 2: Convert to fraction form
    159,310.40/238,994.40 = 80,225.60/x
  3. Step 3: Cross multiply
    159,310.40x = 238,994.40 × 80,225.60
  4. Step 4: Simplify right side
    159,310.40x = 19,173,469,136.64
  5. Step 5: Solve for x
    x = 19,173,469,136.64/159,310.40
  6. Step 6: Final answer
    x = 120,352.90

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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.