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Finding the Fourth Proportional to 263,003.40, 393,921.90 and 105,150.60

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Solution

The fourth proportional to 263,003.40, 393,921.90 and 105,150.60 is: 157,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,003.40 : 393,921.90 = 105,150.60 : x
  2. Step 2: Convert to fraction form
    263,003.40/393,921.90 = 105,150.60/x
  3. Step 3: Cross multiply
    263,003.40x = 393,921.90 × 105,150.60
  4. Step 4: Simplify right side
    263,003.40x = 41,421,124,138.14
  5. Step 5: Solve for x
    x = 41,421,124,138.14/263,003.40
  6. Step 6: Final answer
    x = 157,492.73

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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.