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Finding the Fourth Proportional to 192,744.55, 289,026.84 and 72,709.01

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Solution

The fourth proportional to 192,744.55, 289,026.84 and 72,709.01 is: 109,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,744.55 : 289,026.84 = 72,709.01 : x
  2. Step 2: Convert to fraction form
    192,744.55/289,026.84 = 72,709.01/x
  3. Step 3: Cross multiply
    192,744.55x = 289,026.84 × 72,709.01
  4. Step 4: Simplify right side
    192,744.55x = 21,014,855,399.83
  5. Step 5: Solve for x
    x = 21,014,855,399.83/192,744.55
  6. Step 6: Final answer
    x = 109,029.57

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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.