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Finding the Fourth Proportional to 83,408.28, 115,123.68 and 51,558

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Solution

The fourth proportional to 83,408.28, 115,123.68 and 51,558 is: 71,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,408.28 : 115,123.68 = 51,558 : x
  2. Step 2: Convert to fraction form
    83,408.28/115,123.68 = 51,558/x
  3. Step 3: Cross multiply
    83,408.28x = 115,123.68 × 51,558
  4. Step 4: Simplify right side
    83,408.28x = 5,935,546,693.44
  5. Step 5: Solve for x
    x = 5,935,546,693.44/83,408.28
  6. Step 6: Final answer
    x = 71,162.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.