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Finding the Fourth Proportional to 206,107.56, 284,413.59 and 115,448.19

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Solution

The fourth proportional to 206,107.56, 284,413.59 and 115,448.19 is: 159,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,107.56 : 284,413.59 = 115,448.19 : x
  2. Step 2: Convert to fraction form
    206,107.56/284,413.59 = 115,448.19/x
  3. Step 3: Cross multiply
    206,107.56x = 284,413.59 × 115,448.19
  4. Step 4: Simplify right side
    206,107.56x = 32,835,034,176.90
  5. Step 5: Solve for x
    x = 32,835,034,176.90/206,107.56
  6. Step 6: Final answer
    x = 159,310.19

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1.5x scale

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.