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Finding the Fourth Proportional to 254,441.36, 381,731.16 and 76,954.16

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Solution

The fourth proportional to 254,441.36, 381,731.16 and 76,954.16 is: 115,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,441.36 : 381,731.16 = 76,954.16 : x
  2. Step 2: Convert to fraction form
    254,441.36/381,731.16 = 76,954.16/x
  3. Step 3: Cross multiply
    254,441.36x = 381,731.16 × 76,954.16
  4. Step 4: Simplify right side
    254,441.36x = 29,375,800,763.63
  5. Step 5: Solve for x
    x = 29,375,800,763.63/254,441.36
  6. Step 6: Final answer
    x = 115,452.14

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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.