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Finding the Fourth Proportional to 71,062.56, 106,584.11 and 21,150.36

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Solution

The fourth proportional to 71,062.56, 106,584.11 and 21,150.36 is: 31,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,062.56 : 106,584.11 = 21,150.36 : x
  2. Step 2: Convert to fraction form
    71,062.56/106,584.11 = 21,150.36/x
  3. Step 3: Cross multiply
    71,062.56x = 106,584.11 × 21,150.36
  4. Step 4: Simplify right side
    71,062.56x = 2,254,291,816.73
  5. Step 5: Solve for x
    x = 2,254,291,816.73/71,062.56
  6. Step 6: Final answer
    x = 31,722.64

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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.