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Finding the Fourth Proportional to 221,102.60, 331,701.12 and 71,351.40

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Solution

The fourth proportional to 221,102.60, 331,701.12 and 71,351.40 is: 107,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,102.60 : 331,701.12 = 71,351.40 : x
  2. Step 2: Convert to fraction form
    221,102.60/331,701.12 = 71,351.40/x
  3. Step 3: Cross multiply
    221,102.60x = 331,701.12 × 71,351.40
  4. Step 4: Simplify right side
    221,102.60x = 23,667,339,293.57
  5. Step 5: Solve for x
    x = 23,667,339,293.57/221,102.60
  6. Step 6: Final answer
    x = 107,042.34

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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.