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Finding the Fourth Proportional to 71,162.37, 106,739.91 and 21,242.88

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Solution

The fourth proportional to 71,162.37, 106,739.91 and 21,242.88 is: 31,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162.37 : 106,739.91 = 21,242.88 : x
  2. Step 2: Convert to fraction form
    71,162.37/106,739.91 = 21,242.88/x
  3. Step 3: Cross multiply
    71,162.37x = 106,739.91 × 21,242.88
  4. Step 4: Simplify right side
    71,162.37x = 2,267,463,099.34
  5. Step 5: Solve for x
    x = 2,267,463,099.34/71,162.37
  6. Step 6: Final answer
    x = 31,863.23

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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.