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Finding the Fourth Proportional to 57,792.50, 86,713.79 and 20,379.30

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Solution

The fourth proportional to 57,792.50, 86,713.79 and 20,379.30 is: 30,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,792.50 : 86,713.79 = 20,379.30 : x
  2. Step 2: Convert to fraction form
    57,792.50/86,713.79 = 20,379.30/x
  3. Step 3: Cross multiply
    57,792.50x = 86,713.79 × 20,379.30
  4. Step 4: Simplify right side
    57,792.50x = 1,767,166,340.55
  5. Step 5: Solve for x
    x = 1,767,166,340.55/57,792.50
  6. Step 6: Final answer
    x = 30,577.78

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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.