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Finding the Fourth Proportional to 138,650.96, 207,993.72 and 54,413.84

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Solution

The fourth proportional to 138,650.96, 207,993.72 and 54,413.84 is: 81,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,650.96 : 207,993.72 = 54,413.84 : x
  2. Step 2: Convert to fraction form
    138,650.96/207,993.72 = 54,413.84/x
  3. Step 3: Cross multiply
    138,650.96x = 207,993.72 × 54,413.84
  4. Step 4: Simplify right side
    138,650.96x = 11,317,737,001.08
  5. Step 5: Solve for x
    x = 11,317,737,001.08/138,650.96
  6. Step 6: Final answer
    x = 81,627.54

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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.