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Finding the Fourth Proportional to 169,115.68, 253,676 and 80,378.24

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Solution

The fourth proportional to 169,115.68, 253,676 and 80,378.24 is: 120,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,115.68 : 253,676 = 80,378.24 : x
  2. Step 2: Convert to fraction form
    169,115.68/253,676 = 80,378.24/x
  3. Step 3: Cross multiply
    169,115.68x = 253,676 × 80,378.24
  4. Step 4: Simplify right side
    169,115.68x = 20,390,030,410.24
  5. Step 5: Solve for x
    x = 20,390,030,410.24/169,115.68
  6. Step 6: Final answer
    x = 120,568.54

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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.