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Finding the Fourth Proportional to 206,791.62, 310,164.57 and 66,538.50

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Solution

The fourth proportional to 206,791.62, 310,164.57 and 66,538.50 is: 99,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,791.62 : 310,164.57 = 66,538.50 : x
  2. Step 2: Convert to fraction form
    206,791.62/310,164.57 = 66,538.50/x
  3. Step 3: Cross multiply
    206,791.62x = 310,164.57 × 66,538.50
  4. Step 4: Simplify right side
    206,791.62x = 20,637,885,240.95
  5. Step 5: Solve for x
    x = 20,637,885,240.95/206,791.62
  6. Step 6: Final answer
    x = 99,800.39

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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.