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Finding the Fourth Proportional to 258,369.75, 387,561.87 and 71,381.25

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Solution

The fourth proportional to 258,369.75, 387,561.87 and 71,381.25 is: 107,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,369.75 : 387,561.87 = 71,381.25 : x
  2. Step 2: Convert to fraction form
    258,369.75/387,561.87 = 71,381.25/x
  3. Step 3: Cross multiply
    258,369.75x = 387,561.87 × 71,381.25
  4. Step 4: Simplify right side
    258,369.75x = 27,664,650,732.94
  5. Step 5: Solve for x
    x = 27,664,650,732.94/258,369.75
  6. Step 6: Final answer
    x = 107,073.88

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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.