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Finding the Fourth Proportional to 254,212.20, 381,328.20 and 76,719.24

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Solution

The fourth proportional to 254,212.20, 381,328.20 and 76,719.24 is: 115,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,212.20 : 381,328.20 = 76,719.24 : x
  2. Step 2: Convert to fraction form
    254,212.20/381,328.20 = 76,719.24/x
  3. Step 3: Cross multiply
    254,212.20x = 381,328.20 × 76,719.24
  4. Step 4: Simplify right side
    254,212.20x = 29,255,209,694.57
  5. Step 5: Solve for x
    x = 29,255,209,694.57/254,212.20
  6. Step 6: Final answer
    x = 115,081.85

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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.