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Finding the Fourth Proportional to 199,408.57, 299,170.77 and 64,469.76

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Solution

The fourth proportional to 199,408.57, 299,170.77 and 64,469.76 is: 96,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,408.57 : 299,170.77 = 64,469.76 : x
  2. Step 2: Convert to fraction form
    199,408.57/299,170.77 = 64,469.76/x
  3. Step 3: Cross multiply
    199,408.57x = 299,170.77 × 64,469.76
  4. Step 4: Simplify right side
    199,408.57x = 19,287,466,377.26
  5. Step 5: Solve for x
    x = 19,287,466,377.26/199,408.57
  6. Step 6: Final answer
    x = 96,723.36

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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.