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Finding the Fourth Proportional to 66,942.40, 100,406.56 and 27,503.68

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Solution

The fourth proportional to 66,942.40, 100,406.56 and 27,503.68 is: 41,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.40 : 100,406.56 = 27,503.68 : x
  2. Step 2: Convert to fraction form
    66,942.40/100,406.56 = 27,503.68/x
  3. Step 3: Cross multiply
    66,942.40x = 100,406.56 × 27,503.68
  4. Step 4: Simplify right side
    66,942.40x = 2,761,549,896.14
  5. Step 5: Solve for x
    x = 2,761,549,896.14/66,942.40
  6. Step 6: Final answer
    x = 41,252.63

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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.