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Finding the Fourth Proportional to 258,791.87, 357,050.34 and 145,592.75

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Solution

The fourth proportional to 258,791.87, 357,050.34 and 145,592.75 is: 200,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,791.87 : 357,050.34 = 145,592.75 : x
  2. Step 2: Convert to fraction form
    258,791.87/357,050.34 = 145,592.75/x
  3. Step 3: Cross multiply
    258,791.87x = 357,050.34 × 145,592.75
  4. Step 4: Simplify right side
    258,791.87x = 51,983,939,103.78
  5. Step 5: Solve for x
    x = 51,983,939,103.78/258,791.87
  6. Step 6: Final answer
    x = 200,871.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.