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Finding the Fourth Proportional to 254,169.71, 381,257.31 and 76,678.26

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Solution

The fourth proportional to 254,169.71, 381,257.31 and 76,678.26 is: 115,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,169.71 : 381,257.31 = 76,678.26 : x
  2. Step 2: Convert to fraction form
    254,169.71/381,257.31 = 76,678.26/x
  3. Step 3: Cross multiply
    254,169.71x = 381,257.31 × 76,678.26
  4. Step 4: Simplify right side
    254,169.71x = 29,234,146,759.69
  5. Step 5: Solve for x
    x = 29,234,146,759.69/254,169.71
  6. Step 6: Final answer
    x = 115,018.22

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1.5x scale

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.