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Finding the Fourth Proportional to 71,138.20, 106,712.72 and 21,214.40

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Solution

The fourth proportional to 71,138.20, 106,712.72 and 21,214.40 is: 31,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138.20 : 106,712.72 = 21,214.40 : x
  2. Step 2: Convert to fraction form
    71,138.20/106,712.72 = 21,214.40/x
  3. Step 3: Cross multiply
    71,138.20x = 106,712.72 × 21,214.40
  4. Step 4: Simplify right side
    71,138.20x = 2,263,846,327.17
  5. Step 5: Solve for x
    x = 2,263,846,327.17/71,138.20
  6. Step 6: Final answer
    x = 31,823.22

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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.