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Finding the Fourth Proportional to 57,906.78, 86,832.41 and 28,289.94

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Solution

The fourth proportional to 57,906.78, 86,832.41 and 28,289.94 is: 42,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,906.78 : 86,832.41 = 28,289.94 : x
  2. Step 2: Convert to fraction form
    57,906.78/86,832.41 = 28,289.94/x
  3. Step 3: Cross multiply
    57,906.78x = 86,832.41 × 28,289.94
  4. Step 4: Simplify right side
    57,906.78x = 2,456,483,527.51
  5. Step 5: Solve for x
    x = 2,456,483,527.51/57,906.78
  6. Step 6: Final answer
    x = 42,421.35

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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.