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Finding the Fourth Proportional to 57,817.76, 86,738.88 and 20,376.32

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Solution

The fourth proportional to 57,817.76, 86,738.88 and 20,376.32 is: 30,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,817.76 : 86,738.88 = 20,376.32 : x
  2. Step 2: Convert to fraction form
    57,817.76/86,738.88 = 20,376.32/x
  3. Step 3: Cross multiply
    57,817.76x = 86,738.88 × 20,376.32
  4. Step 4: Simplify right side
    57,817.76x = 1,767,419,175.32
  5. Step 5: Solve for x
    x = 1,767,419,175.32/57,817.76
  6. Step 6: Final answer
    x = 30,568.79

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1.5x scale

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.