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Finding the Fourth Proportional to 57,647.36, 86,442.24 and 26,456

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Solution

The fourth proportional to 57,647.36, 86,442.24 and 26,456 is: 39,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,647.36 : 86,442.24 = 26,456 : x
  2. Step 2: Convert to fraction form
    57,647.36/86,442.24 = 26,456/x
  3. Step 3: Cross multiply
    57,647.36x = 86,442.24 × 26,456
  4. Step 4: Simplify right side
    57,647.36x = 2,286,915,901.44
  5. Step 5: Solve for x
    x = 2,286,915,901.44/57,647.36
  6. Step 6: Final answer
    x = 39,670.78

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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.