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Finding the Fourth Proportional to 66,742.56, 92,067.84 and 42,872.76

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Solution

The fourth proportional to 66,742.56, 92,067.84 and 42,872.76 is: 59,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,742.56 : 92,067.84 = 42,872.76 : x
  2. Step 2: Convert to fraction form
    66,742.56/92,067.84 = 42,872.76/x
  3. Step 3: Cross multiply
    66,742.56x = 92,067.84 × 42,872.76
  4. Step 4: Simplify right side
    66,742.56x = 3,947,202,408.04
  5. Step 5: Solve for x
    x = 3,947,202,408.04/66,742.56
  6. Step 6: Final answer
    x = 59,140.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.