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Finding the Fourth Proportional to 206,907.10, 310,360.65 and 73,791.70

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Solution

The fourth proportional to 206,907.10, 310,360.65 and 73,791.70 is: 110,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,907.10 : 310,360.65 = 73,791.70 : x
  2. Step 2: Convert to fraction form
    206,907.10/310,360.65 = 73,791.70/x
  3. Step 3: Cross multiply
    206,907.10x = 310,360.65 × 73,791.70
  4. Step 4: Simplify right side
    206,907.10x = 22,902,039,976.61
  5. Step 5: Solve for x
    x = 22,902,039,976.61/206,907.10
  6. Step 6: Final answer
    x = 110,687.55

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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.