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Finding the Fourth Proportional to 71,214, 106,822.44 and 21,966

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Solution

The fourth proportional to 71,214, 106,822.44 and 21,966 is: 32,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,214 : 106,822.44 = 21,966 : x
  2. Step 2: Convert to fraction form
    71,214/106,822.44 = 21,966/x
  3. Step 3: Cross multiply
    71,214x = 106,822.44 × 21,966
  4. Step 4: Simplify right side
    71,214x = 2,346,461,717.04
  5. Step 5: Solve for x
    x = 2,346,461,717.04/71,214
  6. Step 6: Final answer
    x = 32,949.44

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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.