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Finding the Fourth Proportional to 66,972.96, 100,488.96 and 27,538.56

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Solution

The fourth proportional to 66,972.96, 100,488.96 and 27,538.56 is: 41,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972.96 : 100,488.96 = 27,538.56 : x
  2. Step 2: Convert to fraction form
    66,972.96/100,488.96 = 27,538.56/x
  3. Step 3: Cross multiply
    66,972.96x = 100,488.96 × 27,538.56
  4. Step 4: Simplify right side
    66,972.96x = 2,767,321,254.30
  5. Step 5: Solve for x
    x = 2,767,321,254.30/66,972.96
  6. Step 6: Final answer
    x = 41,319.98

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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.