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Finding the Fourth Proportional to 149,398.25, 206,163.59 and 81,413.78

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Solution

The fourth proportional to 149,398.25, 206,163.59 and 81,413.78 is: 112,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,398.25 : 206,163.59 = 81,413.78 : x
  2. Step 2: Convert to fraction form
    149,398.25/206,163.59 = 81,413.78/x
  3. Step 3: Cross multiply
    149,398.25x = 206,163.59 × 81,413.78
  4. Step 4: Simplify right side
    149,398.25x = 16,784,556,536.50
  5. Step 5: Solve for x
    x = 16,784,556,536.50/149,398.25
  6. Step 6: Final answer
    x = 112,347.74

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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.