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Finding the Fourth Proportional to 254,206.16, 381,319.16 and 76,713.20

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Solution

The fourth proportional to 254,206.16, 381,319.16 and 76,713.20 is: 115,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,206.16 : 381,319.16 = 76,713.20 : x
  2. Step 2: Convert to fraction form
    254,206.16/381,319.16 = 76,713.20/x
  3. Step 3: Cross multiply
    254,206.16x = 381,319.16 × 76,713.20
  4. Step 4: Simplify right side
    254,206.16x = 29,252,210,694.75
  5. Step 5: Solve for x
    x = 29,252,210,694.75/254,206.16
  6. Step 6: Final answer
    x = 115,072.79

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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.