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Finding the Fourth Proportional to 258,743, 388,114.50 and 71,754.50

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Solution

The fourth proportional to 258,743, 388,114.50 and 71,754.50 is: 107,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,743 : 388,114.50 = 71,754.50 : x
  2. Step 2: Convert to fraction form
    258,743/388,114.50 = 71,754.50/x
  3. Step 3: Cross multiply
    258,743x = 388,114.50 × 71,754.50
  4. Step 4: Simplify right side
    258,743x = 27,848,961,890.25
  5. Step 5: Solve for x
    x = 27,848,961,890.25/258,743
  6. Step 6: Final answer
    x = 107,631.75

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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.