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Finding the Fourth Proportional to 67,609, 101,413.90 and 18,361

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Solution

The fourth proportional to 67,609, 101,413.90 and 18,361 is: 27,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,609 : 101,413.90 = 18,361 : x
  2. Step 2: Convert to fraction form
    67,609/101,413.90 = 18,361/x
  3. Step 3: Cross multiply
    67,609x = 101,413.90 × 18,361
  4. Step 4: Simplify right side
    67,609x = 1,862,060,617.90
  5. Step 5: Solve for x
    x = 1,862,060,617.90/67,609
  6. Step 6: Final answer
    x = 27,541.61

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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.