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Finding the Fourth Proportional to 69,722.52, 96,201.64 and 39,505.20

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Solution

The fourth proportional to 69,722.52, 96,201.64 and 39,505.20 is: 54,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,722.52 : 96,201.64 = 39,505.20 : x
  2. Step 2: Convert to fraction form
    69,722.52/96,201.64 = 39,505.20/x
  3. Step 3: Cross multiply
    69,722.52x = 96,201.64 × 39,505.20
  4. Step 4: Simplify right side
    69,722.52x = 3,800,465,028.53
  5. Step 5: Solve for x
    x = 3,800,465,028.53/69,722.52
  6. Step 6: Final answer
    x = 54,508.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.