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Finding the Fourth Proportional to 258,717, 388,075.50 and 71,728.50

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Solution

The fourth proportional to 258,717, 388,075.50 and 71,728.50 is: 107,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,717 : 388,075.50 = 71,728.50 : x
  2. Step 2: Convert to fraction form
    258,717/388,075.50 = 71,728.50/x
  3. Step 3: Cross multiply
    258,717x = 388,075.50 × 71,728.50
  4. Step 4: Simplify right side
    258,717x = 27,836,073,501.75
  5. Step 5: Solve for x
    x = 27,836,073,501.75/258,717
  6. Step 6: Final answer
    x = 107,592.75

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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.