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Finding the Fourth Proportional to 254,773.98, 382,118.31 and 77,238.54

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Solution

The fourth proportional to 254,773.98, 382,118.31 and 77,238.54 is: 115,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,773.98 : 382,118.31 = 77,238.54 : x
  2. Step 2: Convert to fraction form
    254,773.98/382,118.31 = 77,238.54/x
  3. Step 3: Cross multiply
    254,773.98x = 382,118.31 × 77,238.54
  4. Step 4: Simplify right side
    254,773.98x = 29,514,260,371.67
  5. Step 5: Solve for x
    x = 29,514,260,371.67/254,773.98
  6. Step 6: Final answer
    x = 115,844.88

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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.