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Finding the Fourth Proportional to 72,729, 109,093.68 and 23,481

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Solution

The fourth proportional to 72,729, 109,093.68 and 23,481 is: 35,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,729 : 109,093.68 = 23,481 : x
  2. Step 2: Convert to fraction form
    72,729/109,093.68 = 23,481/x
  3. Step 3: Cross multiply
    72,729x = 109,093.68 × 23,481
  4. Step 4: Simplify right side
    72,729x = 2,561,628,700.08
  5. Step 5: Solve for x
    x = 2,561,628,700.08/72,729
  6. Step 6: Final answer
    x = 35,221.56

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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.