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Finding the Fourth Proportional to 57,712.32, 86,559.84 and 47,914.56

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Solution

The fourth proportional to 57,712.32, 86,559.84 and 47,914.56 is: 71,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,712.32 : 86,559.84 = 47,914.56 : x
  2. Step 2: Convert to fraction form
    57,712.32/86,559.84 = 47,914.56/x
  3. Step 3: Cross multiply
    57,712.32x = 86,559.84 × 47,914.56
  4. Step 4: Simplify right side
    57,712.32x = 4,147,476,647.27
  5. Step 5: Solve for x
    x = 4,147,476,647.27/57,712.32
  6. Step 6: Final answer
    x = 71,864.67

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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.