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Finding the Fourth Proportional to 57,679.30, 86,515.80 and 40,742.65

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Solution

The fourth proportional to 57,679.30, 86,515.80 and 40,742.65 is: 61,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,679.30 : 86,515.80 = 40,742.65 : x
  2. Step 2: Convert to fraction form
    57,679.30/86,515.80 = 40,742.65/x
  3. Step 3: Cross multiply
    57,679.30x = 86,515.80 × 40,742.65
  4. Step 4: Simplify right side
    57,679.30x = 3,524,882,958.87
  5. Step 5: Solve for x
    x = 3,524,882,958.87/57,679.30
  6. Step 6: Final answer
    x = 61,111.75

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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.