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Finding the Fourth Proportional to 80,813, 121,224.36 and 25,409

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Solution

The fourth proportional to 80,813, 121,224.36 and 25,409 is: 38,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,813 : 121,224.36 = 25,409 : x
  2. Step 2: Convert to fraction form
    80,813/121,224.36 = 25,409/x
  3. Step 3: Cross multiply
    80,813x = 121,224.36 × 25,409
  4. Step 4: Simplify right side
    80,813x = 3,080,189,763.24
  5. Step 5: Solve for x
    x = 3,080,189,763.24/80,813
  6. Step 6: Final answer
    x = 38,115.03

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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.