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Finding the Fourth Proportional to 253,874.56, 380,844.24 and 85,322.56

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Solution

The fourth proportional to 253,874.56, 380,844.24 and 85,322.56 is: 127,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,874.56 : 380,844.24 = 85,322.56 : x
  2. Step 2: Convert to fraction form
    253,874.56/380,844.24 = 85,322.56/x
  3. Step 3: Cross multiply
    253,874.56x = 380,844.24 × 85,322.56
  4. Step 4: Simplify right side
    253,874.56x = 32,494,605,518.05
  5. Step 5: Solve for x
    x = 32,494,605,518.05/253,874.56
  6. Step 6: Final answer
    x = 127,994.73

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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.