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Finding the Fourth Proportional to 206,551.20, 285,017.22 and 115,888.26

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Solution

The fourth proportional to 206,551.20, 285,017.22 and 115,888.26 is: 159,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,551.20 : 285,017.22 = 115,888.26 : x
  2. Step 2: Convert to fraction form
    206,551.20/285,017.22 = 115,888.26/x
  3. Step 3: Cross multiply
    206,551.20x = 285,017.22 × 115,888.26
  4. Step 4: Simplify right side
    206,551.20x = 33,030,149,695.84
  5. Step 5: Solve for x
    x = 33,030,149,695.84/206,551.20
  6. Step 6: Final answer
    x = 159,912.65

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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.