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Finding the Fourth Proportional to 51,791.65, 77,697.50 and 20,200.43

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Solution

The fourth proportional to 51,791.65, 77,697.50 and 20,200.43 is: 30,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,791.65 : 77,697.50 = 20,200.43 : x
  2. Step 2: Convert to fraction form
    51,791.65/77,697.50 = 20,200.43/x
  3. Step 3: Cross multiply
    51,791.65x = 77,697.50 × 20,200.43
  4. Step 4: Simplify right side
    51,791.65x = 1,569,523,003.17
  5. Step 5: Solve for x
    x = 1,569,523,003.17/51,791.65
  6. Step 6: Final answer
    x = 30,304.56

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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.