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Finding the Fourth Proportional to 72,744.98, 109,119.29 and 20,154.92

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Solution

The fourth proportional to 72,744.98, 109,119.29 and 20,154.92 is: 30,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,744.98 : 109,119.29 = 20,154.92 : x
  2. Step 2: Convert to fraction form
    72,744.98/109,119.29 = 20,154.92/x
  3. Step 3: Cross multiply
    72,744.98x = 109,119.29 × 20,154.92
  4. Step 4: Simplify right side
    72,744.98x = 2,199,289,914.04
  5. Step 5: Solve for x
    x = 2,199,289,914.04/72,744.98
  6. Step 6: Final answer
    x = 30,232.88

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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.