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Finding the Fourth Proportional to 57,857.76, 86,763.96 and 20,409.84

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Solution

The fourth proportional to 57,857.76, 86,763.96 and 20,409.84 is: 30,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,857.76 : 86,763.96 = 20,409.84 : x
  2. Step 2: Convert to fraction form
    57,857.76/86,763.96 = 20,409.84/x
  3. Step 3: Cross multiply
    57,857.76x = 86,763.96 × 20,409.84
  4. Step 4: Simplify right side
    57,857.76x = 1,770,838,541.37
  5. Step 5: Solve for x
    x = 1,770,838,541.37/57,857.76
  6. Step 6: Final answer
    x = 30,606.76

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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.