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Finding the Fourth Proportional to 73,268, 101,109.90 and 39,734

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Solution

The fourth proportional to 73,268, 101,109.90 and 39,734 is: 54,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,268 : 101,109.90 = 39,734 : x
  2. Step 2: Convert to fraction form
    73,268/101,109.90 = 39,734/x
  3. Step 3: Cross multiply
    73,268x = 101,109.90 × 39,734
  4. Step 4: Simplify right side
    73,268x = 4,017,500,766.60
  5. Step 5: Solve for x
    x = 4,017,500,766.60/73,268
  6. Step 6: Final answer
    x = 54,832.95

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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.