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Finding the Fourth Proportional to 258,364.75, 387,548.75 and 71,377.87

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Solution

The fourth proportional to 258,364.75, 387,548.75 and 71,377.87 is: 107,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,364.75 : 387,548.75 = 71,377.87 : x
  2. Step 2: Convert to fraction form
    258,364.75/387,548.75 = 71,377.87/x
  3. Step 3: Cross multiply
    258,364.75x = 387,548.75 × 71,377.87
  4. Step 4: Simplify right side
    258,364.75x = 27,662,404,296.16
  5. Step 5: Solve for x
    x = 27,662,404,296.16/258,364.75
  6. Step 6: Final answer
    x = 107,067.25

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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.