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Finding the Fourth Proportional to 57,751.92, 86,575.92 and 20,807.28

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Solution

The fourth proportional to 57,751.92, 86,575.92 and 20,807.28 is: 31,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,751.92 : 86,575.92 = 20,807.28 : x
  2. Step 2: Convert to fraction form
    57,751.92/86,575.92 = 20,807.28/x
  3. Step 3: Cross multiply
    57,751.92x = 86,575.92 × 20,807.28
  4. Step 4: Simplify right side
    57,751.92x = 1,801,409,408.70
  5. Step 5: Solve for x
    x = 1,801,409,408.70/57,751.92
  6. Step 6: Final answer
    x = 31,192.20

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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.