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Finding the Fourth Proportional to 57,247.84, 85,879.56 and 19,797.86

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Solution

The fourth proportional to 57,247.84, 85,879.56 and 19,797.86 is: 29,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,247.84 : 85,879.56 = 19,797.86 : x
  2. Step 2: Convert to fraction form
    57,247.84/85,879.56 = 19,797.86/x
  3. Step 3: Cross multiply
    57,247.84x = 85,879.56 × 19,797.86
  4. Step 4: Simplify right side
    57,247.84x = 1,700,231,683.32
  5. Step 5: Solve for x
    x = 1,700,231,683.32/57,247.84
  6. Step 6: Final answer
    x = 29,699.49

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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.