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Finding the Fourth Proportional to 57,905.28, 86,830.16 and 28,288.44

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Solution

The fourth proportional to 57,905.28, 86,830.16 and 28,288.44 is: 42,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,905.28 : 86,830.16 = 28,288.44 : x
  2. Step 2: Convert to fraction form
    57,905.28/86,830.16 = 28,288.44/x
  3. Step 3: Cross multiply
    57,905.28x = 86,830.16 × 28,288.44
  4. Step 4: Simplify right side
    57,905.28x = 2,456,289,629.91
  5. Step 5: Solve for x
    x = 2,456,289,629.91/57,905.28
  6. Step 6: Final answer
    x = 42,419.10

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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.