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Finding the Fourth Proportional to 66,804.98, 100,178.10 and 20,046.92

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Solution

The fourth proportional to 66,804.98, 100,178.10 and 20,046.92 is: 30,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,804.98 : 100,178.10 = 20,046.92 : x
  2. Step 2: Convert to fraction form
    66,804.98/100,178.10 = 20,046.92/x
  3. Step 3: Cross multiply
    66,804.98x = 100,178.10 × 20,046.92
  4. Step 4: Simplify right side
    66,804.98x = 2,008,261,855.56
  5. Step 5: Solve for x
    x = 2,008,261,855.56/66,804.98
  6. Step 6: Final answer
    x = 30,061.56

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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.