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Finding the Fourth Proportional to 54,238.88, 81,361.20 and 17,300

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Solution

The fourth proportional to 54,238.88, 81,361.20 and 17,300 is: 25,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,238.88 : 81,361.20 = 17,300 : x
  2. Step 2: Convert to fraction form
    54,238.88/81,361.20 = 17,300/x
  3. Step 3: Cross multiply
    54,238.88x = 81,361.20 × 17,300
  4. Step 4: Simplify right side
    54,238.88x = 1,407,548,760
  5. Step 5: Solve for x
    x = 1,407,548,760/54,238.88
  6. Step 6: Final answer
    x = 25,950.92

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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.