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Finding the Fourth Proportional to 57,375.76, 86,061.30 and 19,944.32

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Solution

The fourth proportional to 57,375.76, 86,061.30 and 19,944.32 is: 29,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,375.76 : 86,061.30 = 19,944.32 : x
  2. Step 2: Convert to fraction form
    57,375.76/86,061.30 = 19,944.32/x
  3. Step 3: Cross multiply
    57,375.76x = 86,061.30 × 19,944.32
  4. Step 4: Simplify right side
    57,375.76x = 1,716,434,106.82
  5. Step 5: Solve for x
    x = 1,716,434,106.82/57,375.76
  6. Step 6: Final answer
    x = 29,915.67

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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.