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Finding the Fourth Proportional to 258,238.60, 387,380.22 and 71,250.10

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Solution

The fourth proportional to 258,238.60, 387,380.22 and 71,250.10 is: 106,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,238.60 : 387,380.22 = 71,250.10 : x
  2. Step 2: Convert to fraction form
    258,238.60/387,380.22 = 71,250.10/x
  3. Step 3: Cross multiply
    258,238.60x = 387,380.22 × 71,250.10
  4. Step 4: Simplify right side
    258,238.60x = 27,600,879,413.02
  5. Step 5: Solve for x
    x = 27,600,879,413.02/258,238.60
  6. Step 6: Final answer
    x = 106,881.31

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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.