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Finding the Fourth Proportional to 66,858.82, 100,288.32 and 27,408.82

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Solution

The fourth proportional to 66,858.82, 100,288.32 and 27,408.82 is: 41,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,858.82 : 100,288.32 = 27,408.82 : x
  2. Step 2: Convert to fraction form
    66,858.82/100,288.32 = 27,408.82/x
  3. Step 3: Cross multiply
    66,858.82x = 100,288.32 × 27,408.82
  4. Step 4: Simplify right side
    66,858.82x = 2,748,784,510.98
  5. Step 5: Solve for x
    x = 2,748,784,510.98/66,858.82
  6. Step 6: Final answer
    x = 41,113.27

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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.