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Finding the Fourth Proportional to 56,999, 85,500.24 and 19,558.54

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Solution

The fourth proportional to 56,999, 85,500.24 and 19,558.54 is: 29,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,999 : 85,500.24 = 19,558.54 : x
  2. Step 2: Convert to fraction form
    56,999/85,500.24 = 19,558.54/x
  3. Step 3: Cross multiply
    56,999x = 85,500.24 × 19,558.54
  4. Step 4: Simplify right side
    56,999x = 1,672,259,864.05
  5. Step 5: Solve for x
    x = 1,672,259,864.05/56,999
  6. Step 6: Final answer
    x = 29,338.41

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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.