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Finding the Fourth Proportional to 71,138.20, 106,712.70 and 21,214.39

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Solution

The fourth proportional to 71,138.20, 106,712.70 and 21,214.39 is: 31,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.20 : 106,712.70 = 21,214.39 : x
  2. Step 2: Convert to fraction form
    71,138.20/106,712.70 = 21,214.39/x
  3. Step 3: Cross multiply
    71,138.20x = 106,712.70 × 21,214.39
  4. Step 4: Simplify right side
    71,138.20x = 2,263,844,835.75
  5. Step 5: Solve for x
    x = 2,263,844,835.75/71,138.20
  6. Step 6: Final answer
    x = 31,823.20

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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.