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Finding the Fourth Proportional to 258,738.28, 388,123.80 and 81,252.28

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Solution

The fourth proportional to 258,738.28, 388,123.80 and 81,252.28 is: 121,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,738.28 : 388,123.80 = 81,252.28 : x
  2. Step 2: Convert to fraction form
    258,738.28/388,123.80 = 81,252.28/x
  3. Step 3: Cross multiply
    258,738.28x = 388,123.80 × 81,252.28
  4. Step 4: Simplify right side
    258,738.28x = 31,535,943,672.26
  5. Step 5: Solve for x
    x = 31,535,943,672.26/258,738.28
  6. Step 6: Final answer
    x = 121,883.56

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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.