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Finding the Fourth Proportional to 85,311.97, 117,729.72 and 47,071.87

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Solution

The fourth proportional to 85,311.97, 117,729.72 and 47,071.87 is: 64,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,311.97 : 117,729.72 = 47,071.87 : x
  2. Step 2: Convert to fraction form
    85,311.97/117,729.72 = 47,071.87/x
  3. Step 3: Cross multiply
    85,311.97x = 117,729.72 × 47,071.87
  4. Step 4: Simplify right side
    85,311.97x = 5,541,757,780.65
  5. Step 5: Solve for x
    x = 5,541,757,780.65/85,311.97
  6. Step 6: Final answer
    x = 64,958.74

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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.