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Finding the Fourth Proportional to 71,165.36, 106,766.52 and 21,245.46

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Solution

The fourth proportional to 71,165.36, 106,766.52 and 21,245.46 is: 31,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.36 : 106,766.52 = 21,245.46 : x
  2. Step 2: Convert to fraction form
    71,165.36/106,766.52 = 21,245.46/x
  3. Step 3: Cross multiply
    71,165.36x = 106,766.52 × 21,245.46
  4. Step 4: Simplify right side
    71,165.36x = 2,268,303,830.00
  5. Step 5: Solve for x
    x = 2,268,303,830.00/71,165.36
  6. Step 6: Final answer
    x = 31,873.71

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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.