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Finding the Fourth Proportional to 57,678, 86,474.88 and 38,911.38

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Solution

The fourth proportional to 57,678, 86,474.88 and 38,911.38 is: 58,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,678 : 86,474.88 = 38,911.38 : x
  2. Step 2: Convert to fraction form
    57,678/86,474.88 = 38,911.38/x
  3. Step 3: Cross multiply
    57,678x = 86,474.88 × 38,911.38
  4. Step 4: Simplify right side
    57,678x = 3,364,856,916.13
  5. Step 5: Solve for x
    x = 3,364,856,916.13/57,678
  6. Step 6: Final answer
    x = 58,338.65

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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.