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Finding the Fourth Proportional to 71,125.83, 106,694.25 and 21,202.11

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Solution

The fourth proportional to 71,125.83, 106,694.25 and 21,202.11 is: 31,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,125.83 : 106,694.25 = 21,202.11 : x
  2. Step 2: Convert to fraction form
    71,125.83/106,694.25 = 21,202.11/x
  3. Step 3: Cross multiply
    71,125.83x = 106,694.25 × 21,202.11
  4. Step 4: Simplify right side
    71,125.83x = 2,262,143,224.87
  5. Step 5: Solve for x
    x = 2,262,143,224.87/71,125.83
  6. Step 6: Final answer
    x = 31,804.81

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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.