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Finding the Fourth Proportional to 258,741, 388,111.50 and 71,752.50

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Solution

The fourth proportional to 258,741, 388,111.50 and 71,752.50 is: 107,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,741 : 388,111.50 = 71,752.50 : x
  2. Step 2: Convert to fraction form
    258,741/388,111.50 = 71,752.50/x
  3. Step 3: Cross multiply
    258,741x = 388,111.50 × 71,752.50
  4. Step 4: Simplify right side
    258,741x = 27,847,970,403.75
  5. Step 5: Solve for x
    x = 27,847,970,403.75/258,741
  6. Step 6: Final answer
    x = 107,628.75

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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.